{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Two parallel noncomunicating zones in a reservoir\n",
    "\n",
    "# This one is only water flood (no low sal effect)\n",
    "I'm injecting the seawater into a reservoir via a long horizontal well. The injectivity is better in some areas. I assign a larger injection rate to the 1D model for that zone, and a lower injection rate to the rest of the well, which is modelled again with a 1D model."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 25,
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "WARNING: replacing module FractionalFlow.\n"
     ]
    }
   ],
   "source": [
    "include(\"../FractionalFlow/FractionalFlow.jl\")\n",
    "using PyPlot, Dierckx, SetPyPlot\n",
    "FF = FractionalFlow\n",
    "setrcparam()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "0.3"
      ]
     },
     "execution_count": 17,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "krw0_ww = 0.271636\n",
    "krw0_ow = 0.226423\n",
    "kro0_ww = 0.640774\n",
    "kro0_ow = 0.53222\n",
    "nw_ww = 3.74488\n",
    "nw_ow= 3.81109\n",
    "no_ww = 1.93454\n",
    "no_ow= 2.0844\n",
    "sor_ww=0.333829\n",
    "sor_ow=0.40325\n",
    "sor_mw=0.1\n",
    "swc_ww=0.212\n",
    "swc_ow=0.212\n",
    "\n",
    "u_inj_fast = 0.3e-5\n",
    "u_inj_slow = 1.0e-5 \n",
    "pv_inj_fast = 2.0\n",
    "pv_inj_slow = u_inj_slow/u_inj_fast*pv_inj_fast\n",
    "A_fast = 0.2 # normalized to a total injection area of 1.0\n",
    "A_slow = 1-A_fast # normalized to a total injection area of 1.0\n",
    "eq_const = 0.3"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "┌ Info: difficulty finding the shock front saturation range!\n",
      "└ @ Main.FractionalFlow /home/ali/projects/peteng/analytical/FractionalFlow/FractionalFlow.jl:401\n",
      "┌ Info: difficulty finding the shock front saturation range!\n",
      "└ @ Main.FractionalFlow /home/ali/projects/peteng/analytical/FractionalFlow/FractionalFlow.jl:401\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "[0.0, 7.43361e-8, 1.59378e-7, 2.50134e-7, 3.455e-7, 4.4497e-7, 5.48262e-7, 6.55207e-7, 7.657e-7, 8.79674e-7, 9.9709e-7, 1.11793e-6, 1.24217e-6, 1.36984e-6, 1.50093e-6, 1.63546e-6, 1.77346e-6, 1.91495e-6, 2.05996e-6, 2.20853e-6, 2.36068e-6, 2.51647e-6, 2.67592e-6, 2.83908e-6, 3.006e-6, 3.17671e-6, 3.35126e-6, 3.52971e-6, 3.71209e-6, 3.89846e-6, 4.08886e-6, 4.28335e-6, 4.48198e-6, 4.68479e-6, 4.89184e-6, 5.10319e-6, 5.31888e-6, 5.53897e-6, 5.76352e-6, 5.99256e-6, 6.22617e-6, 6.46439e-6, 6.70728e-6, 6.95489e-6, 7.20727e-6, 7.46449e-6, 7.72659e-6, 7.99362e-6, 8.26564e-6, 8.54271e-6, 8.82487e-6, 9.11217e-6, 9.40468e-6, 9.70243e-6, 1.00055e-5, 1.03139e-5, 1.06277e-5, 1.09469e-5, 1.12717e-5, 1.16019e-5, 1.19378e-5, 1.22793e-5, 1.26264e-5, 1.29793e-5, 1.33379e-5, 1.37023e-5, 1.40725e-5, 1.44486e-5, 1.48305e-5, 1.52184e-5, 1.56122e-5, 1.6012e-5, 1.64178e-5, 1.68296e-5, 1.72475e-5, 1.76714e-5, 1.81014e-5, 1.85375e-5, 1.89796e-5, 1.94279e-5, 1.98822e-5, 2.03427e-5, 2.08092e-5, 2.12818e-5, 2.17605e-5, 2.22453e-5, 2.27361e-5, 2.32329e-5, 2.37356e-5, 2.42444e-5, 2.47591e-5, 2.52796e-5, 2.5806e-5, 2.63381e-5, 2.6876e-5, 2.74195e-5, 2.79687e-5, 2.85234e-5, 2.90835e-5, 2.9649e-5, 5.9298e-5]\n",
      "[0.59675, 0.595998, 0.595246, 0.594494, 0.593742, 0.592989, 0.592237, 0.591485, 0.590733, 0.589981, 0.589229, 0.588477, 0.587725, 0.586973, 0.586221, 0.585468, 0.584716, 0.583964, 0.583212, 0.58246, 0.581708, 0.580956, 0.580204, 0.579452, 0.578699, 0.577947, 0.577195, 0.576443, 0.575691, 0.574939, 0.574187, 0.573435, 0.572683, 0.571931, 0.571178, 0.570426, 0.569674, 0.568922, 0.56817, 0.567418, 0.566666, 0.565914, 0.565162, 0.56441, 0.563657, 0.562905, 0.562153, 0.561401, 0.560649, 0.559897, 0.559145, 0.558393, 0.557641, 0.556888, 0.556136, 0.555384, 0.554632, 0.55388, 0.553128, 0.552376, 0.551624, 0.550872, 0.55012, 0.549367, 0.548615, 0.547863, 0.547111, 0.546359, 0.545607, 0.544855, 0.544103, 0.543351, 0.542598, 0.541846, 0.541094, 0.540342, 0.53959, 0.538838, 0.538086, 0.537334, 0.536582, 0.53583, 0.535077, 0.534325, 0.533573, 0.532821, 0.532069, 0.531317, 0.530565, 0.529813, 0.529061, 0.528309, 0.527556, 0.526804, 0.526052, 0.5253, 0.524548, 0.523796, 0.523044, 0.522292, 0.212]\n",
      "[0.0, 5.0e-6, 1.0e-5, 1.5e-5, 2.0e-5, 2.5e-5, 3.0e-5, 3.5e-5, 4.0e-5, 4.5e-5, 5.0e-5, 5.5e-5, 6.0e-5, 6.5e-5, 7.0e-5, 7.5e-5, 8.0e-5, 8.5e-5, 9.0e-5, 9.5e-5, 0.0001, 0.000105, 0.00011, 0.000115, 0.00012, 0.000125, 0.00013, 0.000135, 0.00014, 0.000145, 0.00015, 0.000155, 0.00016, 0.000165, 0.00017, 0.000175, 0.00018, 0.000185, 0.00019, 0.000195, 0.0002, 0.000205, 0.00021, 0.000215, 0.00022, 0.000225, 0.00023, 0.000235, 0.00024, 0.000245, 0.00025, 0.000255, 0.00026, 0.000265, 0.00027, 0.000275, 0.00028, 0.000285, 0.00029, 0.000295, 0.0003, 0.000305, 0.00031, 0.000315, 0.00032, 0.000325, 0.00033, 0.000335, 0.00034, 0.000345, 0.00035, 0.000355, 0.00036, 0.000365, 0.00037, 0.000375, 0.00038, 0.000385, 0.00039, 0.000395, 0.0004, 0.000405, 0.00041, 0.000415, 0.00042, 0.000425, 0.00043, 0.000435, 0.00044, 0.000445, 0.00045, 0.000455, 0.00046, 0.000465, 0.00047, 0.000475, 0.00048, 0.000485, 0.00049, 0.000495, 0.0005, 0.000505, 0.00051, 0.000515, 0.00052, 0.000525, 0.00053, 0.000535, 0.00054, 0.000545, 0.00055, 0.000555, 0.00056, 0.000565, 0.00057, 0.000575, 0.00058, 0.000585, 0.00059, 0.000595, 0.0006, 0.000605, 0.00061, 0.000615, 0.00062, 0.000625, 0.00063, 0.000635, 0.00064, 0.000645, 0.00065, 0.000655, 0.00066, 0.000665, 0.00067, 0.000675, 0.00068, 0.000685, 0.00069, 0.000695, 0.0007, 0.000705, 0.00071, 0.000715, 0.00072, 0.000725, 0.00073, 0.000735, 0.00074, 0.000745, 0.00075, 0.000755, 0.00076, 0.000765, 0.00077, 0.000775, 0.00078, 0.000785, 0.00079, 0.000795, 0.0008, 0.000805, 0.00081, 0.000815, 0.00082, 0.000825, 0.00083, 0.000835, 0.00084, 0.000845, 0.00085, 0.000855, 0.00086, 0.000865, 0.00087, 0.000875, 0.00088, 0.000885, 0.00089, 0.000895, 0.0009, 0.000905, 0.00091, 0.000915, 0.00092, 0.000925, 0.00093, 0.000935, 0.00094, 0.000945, 0.00095, 0.000955, 0.00096, 0.000965, 0.00097, 0.000975, 0.00098, 0.000985, 0.00099, 0.000995]\n",
      "[0.59675, 0.570794, 0.55615, 0.545278, 0.536389, 0.528712, 0.518618, 0.466291, 0.413963, 0.361636, 0.309308, 0.256981, 0.212, 0.212, 0.212, 0.212, 0.212, 0.212, 0.212, 0.212, 0.212, 0.212, 0.212, 0.212, 0.212, 0.212, 0.212, 0.212, 0.212, 0.212, 0.212, 0.212, 0.212, 0.212, 0.212, 0.212, 0.212, 0.212, 0.212, 0.212, 0.212, 0.212, 0.212, 0.212, 0.212, 0.212, 0.212, 0.212, 0.212, 0.212, 0.212, 0.212, 0.212, 0.212, 0.212, 0.212, 0.212, 0.212, 0.212, 0.212, 0.212, 0.212, 0.212, 0.212, 0.212, 0.212, 0.212, 0.212, 0.212, 0.212, 0.212, 0.212, 0.212, 0.212, 0.212, 0.212, 0.212, 0.212, 0.212, 0.212, 0.212, 0.212, 0.212, 0.212, 0.212, 0.212, 0.212, 0.212, 0.212, 0.212, 0.212, 0.212, 0.212, 0.212, 0.212, 0.212, 0.212, 0.212, 0.212, 0.212, 0.212, 0.212, 0.212, 0.212, 0.212, 0.212, 0.212, 0.212, 0.212, 0.212, 0.212, 0.212, 0.212, 0.212, 0.212, 0.212, 0.212, 0.212, 0.212, 0.212, 0.212, 0.212, 0.212, 0.212, 0.212, 0.212, 0.212, 0.212, 0.212, 0.212, 0.212, 0.212, 0.212, 0.212, 0.212, 0.212, 0.212, 0.212, 0.212, 0.212, 0.212, 0.212, 0.212, 0.212, 0.212, 0.212, 0.212, 0.212, 0.212, 0.212, 0.212, 0.212, 0.212, 0.212, 0.212, 0.212, 0.212, 0.212, 0.212, 0.212, 0.212, 0.212, 0.212, 0.212, 0.212, 0.212, 0.212, 0.212, 0.212, 0.212, 0.212, 0.212, 0.212, 0.212, 0.212, 0.212, 0.212, 0.212, 0.212, 0.212, 0.212, 0.212, 0.212, 0.212, 0.212, 0.212, 0.212, 0.212, 0.212, 0.212, 0.212, 0.212, 0.212, 0.212, 0.212, 0.212, 0.212, 0.212, 0.212, 0.212]\n"
     ]
    },
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAjoAAAG0CAYAAAA7Go31AAAABHNCSVQICAgIfAhkiAAAAAlwSFlzAAAPYQAAD2EBqD+naQAAADl0RVh0U29mdHdhcmUAbWF0cGxvdGxpYiB2ZXJzaW9uIDMuMC4yLCBodHRwOi8vbWF0cGxvdGxpYi5vcmcvOIA7rQAAIABJREFUeJzs3Xd01HW+//HnpAPpJEASEoooCS1AQCCIwKq42EVXVlHUFVcUReDuqlz1h+BVvOpy0Ys0xbbrqluwXiwoomhCNYB0qaEkBBLSSZv5/v6YJBAJMhNm8s3MvB7n5OST73xn5oXnOHnnUy2GYRiIiIiIeCE/swOIiIiIuIsKHREREfFaKnRERETEa6nQEREREa+lQkdERES8lgodERER8VoqdERERMRrqdARERERr6VCR0RERLyWCh0RERHxWip0RERExGsFmB2gudlsNo4cOUJYWBgWi8XsOCIiIuIAwzAoKSkhPj4ePz/H+2l8rtA5cuQIiYmJZscQERGRJjh48CAdO3Z0+H6fK3TCwsIA+3+o8PBwk9OIiIiII4qLi0lMTKz/Pe4onyt06oarwsPDVeiIiIh4GGennWgysoiIiHgtFToiIiLitVToiIiIiNdSoSMiIiJeS4WOiIiIeC0VOiIiIuK1VOiIiIiI11KhIyIiIl5LhY6IiIh4LRU6IiIi4rVMLXS+++47rr32WuLj47FYLHz44YfnfM63335LWloaISEhdO3alYULFzZDUhEREfFEphY6ZWVlpKamMm/ePIfu37dvH1dddRXDhg0jKyuL//zP/2Ty5Mn8+9//dnNSERER8USmHuo5evRoRo8e7fD9CxcuJCkpiblz5wKQkpLC+vXrefHFF7npppvcFVNExKWsNoPSyhrKKmuwGYbZcURcLijAj3ZhIWbHADzs9PLMzExGjRrV4NqVV17JkiVLqK6uJjAw8IznVFZWUllZWf9zcXGx23OKiFRUW9mRW8LWI0VsPVLM1iPFHC2qoKSimrIqq9nxRNyqf1IkSx8YanYMwMMKndzcXNq3b9/gWvv27ampqeH48ePExcWd8ZzZs2czc+bM5oooIj6sssbK19vz+Of6g6z6+Tg1tl/vrQn0t+BnsTRTOpHmE+jfctY6eVShA2D5xYeCUdvt+8vrdaZPn860adPqfy4uLiYxMdF9AUXE52w7Usx767L5aOMRik5W119v2yaIHvHh9IyPoFdCOJ2i2xAWEkBYSAChIQEEB/ibmFrEN3hUodOhQwdyc3MbXMvLyyMgIIC2bds2+pzg4GCCg4ObI56I+JjC8ir++/OdvLs2u/5ah/AQbkpLYEz/jnSNaXPWP8JEpHl4VKEzZMgQPvnkkwbXvvzySwYMGNDo/BwREXcwDIMPNx7mvz7dTn5ZFQBX9e7A7wcmMbRbDP5+Km5EWgpTC53S0lJ2795d//O+ffvYuHEj0dHRJCUlMX36dA4fPszbb78NwMSJE5k3bx7Tpk3j3nvvJTMzkyVLlvDuu++a9U8QER+TnV/O9A8288PufAC6tQvl2Rt7c3GXaJOTiUhjTC101q9fz8iRI+t/rptLc+edd/Lmm2+Sk5NDdvapLuEuXbqwbNkypk6dyiuvvEJ8fDwvv/yylpaLSLPYcriIO19fS35ZFcEBfky+7ELuHdaVoICWM/FSRBqyGIZvbeJQXFxMREQERUVFhIeHmx1HRDzE2n0F3PPmOkoqa+gZH878cf3p1LaN2bFEfEZTf3971BwdEREzfLMjj4l/20BljY2LO0fz2l0DCA/RvEART6BCR0TkV3y08TD/8Y9N1NgMRnaPZf64NFoFaVm4iKdQoSMichbf7MxjyvsbMQy4LjWev9yS2qI2QhORc1OhIyLSiMOFJ5laW+T8Lq0j/31TH/y0bFzE4+hPExGRX6iqsfHg33+ksLya3gkR/NeNvVTkiHgoFToiIr/w3Gc7yMouJDwkgPnj+uuoBhEPpkJHROQ0n2/J4fUf9gHwl1v6khjd2uREInI+VOiIiNQ6kF/Gn/+5GYA/XtqVK3q0NzmRiJwvFToiIoDNZjDl/Y2UVNYwoFMUf76yu9mRRMQFVOiIiACfbD5CVnYhrYP8efnWflpGLuIl9H+yiPi8imorz3++E4D7h19AfGQrkxOJiKuo0BERn7fk+30cLjxJXEQIE4Z1NTuOiLiQCh0R8WnHSipZsHIPAH++sruOdxDxMip0RMSn/c9XuyitrKF3QgQ39E0wO46IuJgKHRHxWbuOlvDe2mwAnrg6Rbsfi3ghnXUlIr7FaoVVqyAnh39nFQIJjOoVz6Cubc1OJiJuoEJHRHzH0qXw8MNw6BAA04G7wmLwe/klYICp0UTEPVToiIhvWLoUbr4ZDKPB5Q4l+Vj+cDuEh8CYMSaFExF30RwdEfF+Vqu9J6euyGnnB53tq6ss1F6bMsV+n4h4FRU6IuL9Vq2qH64CYEQw3NkGhgfbfzYMOHjQfp+IeBUVOiLi/XJyTrWjLJBcO2q/tfrs94mIV1ChIyLeLy7uVHtIMFgssKsajtvOfp+IeAUVOiLi/YYNg44dMVr7Qd9A+7XMqlOPWyyQmGi/T0S8igodEfF+/v7w0kswIBACLXDECvtrJx5bajcJnDvXfp+IeBUVOiLiG669ipPDo+ztzMpT1zt2hH/9S0vLRbyU9tEREZ9wPONtYvzKOWxri9/TfyPuZKl9Ts6wYerJEfFiKnRExPvZbJDxvwB81/Z33HrDtSYHEpHmoqErEfF61Ts+I6Yym2KjNR0vu8/sOCLSjFToiIjXK/lmLgAf+Y9iaI8uJqcRkeakQkdEvNvhDUQfW0u14c/xnnfj52cxO5GINCMVOiLi1aw/2OfmfGwbwvCBqSanEZHmpkJHRLzXiQP4bfsIgI9bjaFfYqTJgUSkuanQERHvtXoBFmx8Z+1Nct90LBYNW4n4GhU6IuKdTp7A+PFtAF61Xs01feJNDiQiZlChIyLeaf0bWKrL2G5LJDtyEL0Sws1OJCImUKEjIt6npgrWLALg1ZqruSY1XsNWIj5KhY6IeJ8t/4LSXI4aUXxiS9ewlYgPU6EjIt7FMOqPe3i95rckxUaQ3CHM5FAiYhYVOiLiXfZ8DXnbqLC04l3rb7imj4atRHyZCh0R8S61vTnv1oygmDZcmxpnciARMZMKHRHxHjmbYe9KbBZ/ltT8luQOYXRrp2ErEV+mQkdEvEfmPAA2tLmUQ0Ysv+3VweRAImI2FToi4h2KDsOWfwPwYukoAIZfFGtmIhFpAVToiIh3WLMQbDUUdxjMmopORLYOpE9HnW0l4utU6IiI56sohg1vAvB15C0ADO0Wg7+fVluJ+DoVOiLi+X58GyqLIaY7bx2/CNCwlYjYqdAREc9mrYbVCwAoS7uPTYeLAbj0QhU6IqJCR0Q83dYPofgQtIllZfBvMAzo3j6MDhEhZicTkRZAhY6IeC7DgIyX7e2L7+ObPfbenOHd1ZsjInYqdETEc+37DnI3Q0ArjAF/YNXPxwANW4nIKSp0RMRz1R73QL/b2VkSyNHiSkIC/RjQOcrcXCLSYqjQERHPlLcddi8HLDDkAb7bZe/NGdy1LSGB/uZmE5EWQ4WOiHim2uMeSLkWorvybW2ho2XlInI6FToi4nlKcmHzP+zt9MmUV9Wwbt8JAC5VoSMip1GhIyKeZ+1isFZB4iBIHMiavQVUWW0kRLaia0wbs9OJSAuiQkdEPEtlKaxbYm+nPwRwatiqeywWi459EJFTTC905s+fT5cuXQgJCSEtLY1Vq1b96v1z586le/futGrVisTERKZOnUpFRUUzpRUR0218ByoKIbordL8KoH4ispaVi8gvmVrovP/++0yZMoXHH3+crKwshg0bxujRo8nOzm70/nfeeYfHHnuMGTNmsH37dpYsWcL777/P9OnTmzm5iJjCWgOZr9jbQyaBnz+5RRXsPV6GnwXSu7U1N5+ItDimFjpz5szhnnvuYcKECaSkpDB37lwSExNZsGBBo/dnZmYydOhQbrvtNjp37syoUaO49dZbWb9+fTMnFxFT7PgECg9Aq2hIvQ2AtfsLAOgZH0F4SKCZ6USkBTKt0KmqqmLDhg2MGjWqwfVRo0aRkZHR6HMuueQSNmzYwNq1awHYu3cvy5Yt4+qrrz7r+1RWVlJcXNzgS0Q8kGGc2iDw4nshqDUA62sLHW0SKCKNCTDrjY8fP47VaqV9+/YNrrdv357c3NxGn/P73/+eY8eOcckll2AYBjU1Ndx///089thjZ32f2bNnM3PmTJdmFxETZK+GwxvAPxgG3lt/ee0+e6Fzcedos5KJSAtm+mTkX66QMAzjrKsmVq5cyTPPPMP8+fP58ccfWbp0KZ9++ilPP/30WV9/+vTpFBUV1X8dPHjQpflFpJnU9eb0vRVC7ZOOi05Ws/NoCQBp6tERkUaY1qMTExODv7//Gb03eXl5Z/Ty1HnyySe54447mDBhAgC9e/emrKyMP/7xjzz++OP4+Z1ZtwUHBxMcHOz6f4CINJ/jP8POZfb24En1l3/MPoFhQOe2rWkXFmJSOBFpyUzr0QkKCiItLY3ly5c3uL58+XLS09MbfU55efkZxYy/vz+GYWAYhtuyiojJMl8BDLhoNMReVH95Xe2w1UANW4nIWZjWowMwbdo07rjjDgYMGMCQIUNYvHgx2dnZTJw4EYDx48eTkJDA7NmzAbj22muZM2cO/fr1Y9CgQezevZsnn3yS6667Dn9/HeIn4pVKj8Gmd+3t2g0C66zfbz/2QYWOiJyNqYXO2LFjyc/PZ9asWeTk5NCrVy+WLVtGp06dAMjOzm7Qg/PEE09gsVh44oknOHz4MLGxsVx77bU888wzZv0TRMTd1r0GNRUQ3x86nertrayxsvFQIaAVVyJydhbDx8Z8iouLiYiIoKioiPDwcLPjiMivqT4J/9MTyvPh5jeg15j6h9bvL+DmhZnEhAax7vHLdfSDiJdr6u9v01ddiYic1aZ37UVOZBKkXNfgoXW1w1YDOkWryBGRs1KhIyItk80GGfPs7cGTwL/hSPu62o0CB3bR/BwROTsVOiLSMu36DAr2QEgE9Lu9wUM2m1G/I/JAzc8RkV+hQkdEWqa6DQIH/AGCQxs8tCuvhOKKGloH+dMjTnPtROTsVOiISMtzcB1kZ4JfIFx83xkP183P6Z8URYC/PsZE5Oz0CSEiLU9mbW9On1sgPO6Mh+s2CtSychE5FxU6ItKyFOyD7Z/Y20MebPSWU/NzNBFZRH6dCh0RaVlWLwDDBt0uh/Y9znj4cOFJjhRV4O9noV9SpAkBRcSTqNARkZajvACy/mpv/+K4hzp1w1a94sNpHWTq5u4i4gFU6IhIy7H+daguhw69ocvwxm85UDc/R8NWInJuKnREpGWoqYQ1i+zt9Mlwlt2ONx0sAtCwlYg4RIWOiLQMm/8BZXkQngA9b2z0lsoaKztyiwFI7ahCR0TOTYWOiJjPZju1QeCgieAf2Oht23NKqLYaRLUOpGNUq2YMKCKeSoWOiJhv91dwfCcEhUHanWe9bfOhQgD6dIzUQZ4i4hCHliy8/PLLTr/w3XffTVhYmNPPExEflFH7GZN2p/1sq7Oom5+TmqhhKxFxjEOFzpQpU+jYsSP+/v4OvejBgwe55pprVOiIyLkd2Qj7V4FfAAy+/1dvrevRSe149mJIROR0Dm9CsX79etq1a+fQvSpwRMRhmfPs33uOgYiOZ72ttLKG3cdKAfvQlYiIIxyaozNjxgxCQ0PPfWOt//zP/yQ6WntciMg5FB6ELUvt7fTGj3uo89OhIgwD4iNCiA0LboZwIuINHOrRmTFjhlMvOn369CaFEREfs2YhGFb75oBxqb966+kTkUVEHHVeq66ee+45CgsLXZVFRHzJyULY8Ka9fZbjHk63+ZB9InKfRM3PERHHnVeh8+yzz1JQUOCqLCLiS358C6pKITbZfoDnOWyqn4isHh0Rcdx5FTqGYbgqh4j4kpoqWL3Q3k5/6KzHPdTJL63k0ImTAPRKUI+OiDhOGwaKSPPb+gGUHIHQ9tD7d+e8ffNh+7BV19g2RLRqfNdkEZHGOLy8vDHbtm0jPj7eVVlExBcYxmnHPdwHAedeQbW5bqNADVuJiJPOq9BJTEx0VQ4R8RV7V8LRnyCwDaTd7dBTTq240rCViDjHoaGr6Ohojh8/7vCLJiUlceDAgSaHEhEvVteb0/8OaH3u/bYMw2BT3Yor9eiIiJMc6tEpLCzks88+IyLCsb+m8vPzsVqt5xVMRLxQ7hbY8zVY/M553EOdnKIKjpdWEuBnoWd8uJsDioi3cXjo6s47z36isIiIQzJfsX9PuQ6iOjv0lE0H7cNWF7UPIyTQsfP2RETqOFTo2Gw2d+cQEW9XfAR++qe97cAGgXXqhq1StVGgiDSBlpeLSPNYswhs1ZCUDh0HOPw0Hf0gIudDhY6IuF9lCWx4w952ojfHZjP46ZCWlotI06nQERH3y/obVBRB225w0W8dftr+/DJKKmsIDvDjovahbgwoIt5KhY6IuJe1BjLn29tDHgQ/xz92th4pBiAlLpwAf31ciYjz9MkhIu61/SMoyobWMZD6e6eeui3HXuj00LJyEWkipwudcePGsXjxYnbt2uWOPCLiTQwDfnjZ3r74jxDYyqmn1/XoaP8cEWkqpwud0NBQ5syZQ3JyMvHx8dx6660sXLiQHTt2uCOfiHiyAz9AzkYICIGB9zj99G21hU6POBU6ItI0Thc6ixYtYseOHRw5coQ5c+YQERHBSy+9RM+ePYmLi3NHRhHxVHXHPfS9DdrEOPXUvGL7jsh+FkjuoEJHRJqmyXN0wsLCiIqKIioqisjISAICAujQoYMrs4mIJzu2E3Z9Dlhg8CSnn761dn5O19hQWgVpR2QRaRqnC51HH32UwYMHExMTwxNPPEFVVRXTp0/n6NGjZGVluSOjiHiiuuMekq+GmG5OP32b5ueIiAs4fNZVnRdeeIHY2FhmzJjB9ddfT0pKijtyiYgnK82DTe/Z205sEHg6zc8REVdwutDJysri22+/ZeXKlfzlL3/B39+f4cOHM2LECEaMGKHCR0Rg7atgrYSOAyFxUJNeYusR+47IPeN1xpWINJ3ThU5qaiqpqalMnjwZgE2bNjF37lwmT56MzWbDarW6PKSIeJCqclj3qr2d/hBYLE6/RGllDfvzywHtoSMi58fpQgfsvTorV65k5cqVrFq1iuLiYvr27cvIkSNdnU9EPM3Gd+DkCYjqDMnXNOklttdORI6LCCG6TZALw4mIr3G60ImKiqK0tJTU1FRGjBjBvffey6WXXkp4uP7qEvF5NuupSciDJ4Ff01ZLaSKyiLiK04XOX//6VxU2ItK4Hf8HJ/ZBSCT0G9fkl6mbn6OJyCJyvpwudK655lRX9KFDh7BYLCQkJLg0lIh4qLoNAgdOgKA2TX6ZuqMfemgisoicJ6f30bHZbMyaNYuIiAg6depEUlISkZGRPP3009hsNndkFBFPkL0GDq0F/yD7uVZNVFVj4+ejpYCGrkTk/Dndo/P444+zZMkSnnvuOYYOHYphGPzwww889dRTVFRU8Mwzz7gjp4i0dJm1vTl9xkJY+ya/zO68UqqsNsJCAugY5dwhoCIiv+R0ofPWW2/x2muvcd1119VfS01NJSEhgQceeECFjogvyt8D2z+1t4c8eF4vtS3n1EaBliYsTRcROZ3TQ1cFBQUkJyefcT05OZmCggKXhBIRD7N6PmDAhVdCuzM/H5yhjQJFxJWcLnRSU1OZN2/eGdfnzZtHamqqS0KJiAcpy4esd+zt9PPrzYHTjn7Q/BwRcQGnh66ef/55rr76ar766iuGDBmCxWIhIyODgwcPsmzZMndkFJGWbP0SqDkJcanQedh5vZRhGPVDV5qILCKu4HSPzvDhw9m1axc33ngjhYWFFBQUMGbMGHbu3MmwYef3ISciHqa6AtYutrfTJzfpuIfTHTpxkpKKGoL8/ejWLtQFAUXE1zXpCIj4+HhNOhYR2Pw+lB2DiETocf15v1zd/JyLOoQS6O/032EiImdwqNDZvHmzwy/Yp0+fJocREQ9is0Fm7Xy9wfeDf+B5v2T9/BztiCwiLuJQodO3b18sFguGYfzqfRaLRaeXi/iKn7+E47sgOAL6j3fJS56+tFxExBUc6hvet28fe/fuZd++fb/6tXfvXqcDzJ8/ny5duhASEkJaWhqrVq361fsLCwuZNGkScXFxhISEkJKSoknQImaoO+5hwF0QHOaSl9yeUwLo6AcRcR2HenRuvPFGvv76a6Kiopg1axZ/+tOfaN269Xm/+fvvv8+UKVOYP38+Q4cOZdGiRYwePZpt27aRlJR0xv1VVVVcccUVtGvXjn/961907NiRgwcPEhbmmg9ZEXHQ4Q1w4HvwC4BBE13yksUV1RwuPAlA9w76f1pEXMOhHp3t27dTVlYGwMyZMyktLXXJm8+ZM4d77rmHCRMmkJKSwty5c0lMTGTBggWN3v/6669TUFDAhx9+yNChQ+nUqROXXHKJ9u8RaW4ZtXNzet0M4fEueckdtb05CZGtiGh1/vN9RETAiTk6d999N5dccgmGYfDiiy8SGtr40s//9//+n0NvXFVVxYYNG3jssccaXB81ahQZGRmNPufjjz9myJAhTJo0iY8++ojY2Fhuu+02Hn30Ufz9/Rt9TmVlJZWVlfU/FxcXO5RPRM7ixAHY9qG97YINAuvsyLX/v5ms3hwRcSGHCp0333yTGTNm8Omnn2KxWPjss88ICDjzqRaLxeFC5/jx41itVtq3b3j4X/v27cnNzW30OXv37mXFihWMGzeOZcuW8fPPPzNp0iRqamrO+r6zZ89m5syZDmUSEQesXgCGDbqOhA69XfaydfNzkuNU6IiI6zhU6HTv3p333nsPAD8/P77++mvatWvnkgC/PLTPMIyzHuRns9lo164dixcvxt/fn7S0NI4cOcILL7xw1kJn+vTpTJs2rf7n4uJiEhMTXZJdxOecPAE/vm1vpz/k0pc+1aOjFVci4jpObxhos9lc8sYxMTH4+/uf0XuTl5d3Ri9Pnbi4OAIDAxsMU6WkpJCbm0tVVRVBQUFnPCc4OJjg4GCXZBbxeRvehOoyaNcTLviNy17WZjPYmWvv0UlRj46IuJBpW48GBQWRlpbG8uXLG1xfvnw56enpjT5n6NCh7N69u0GxtWvXLuLi4hotckTEhWqqYPVCezv9ofM+7uF0B0+UU15lJSjAj85t27jsdUVETN1jfdq0abz22mu8/vrrbN++nalTp5Kdnc3EifblquPHj2f69On1999///3k5+fz8MMPs2vXLv7v//6PZ599lkmTJpn1TxDxHVv+BaW5EBYHvW5y6UvXzc+5qH0oATr6QURcqElnXbnK2LFjyc/PZ9asWeTk5NCrVy+WLVtGp06dAMjOzsbP79SHXmJiIl9++SVTp06lT58+JCQk8PDDD/Poo4+a9U8Q8Q2GcWqDwEETIcC1PaianyMi7mIxznWug5cpLi4mIiKCoqIiwsP1oSrikN1fwd9ugqBQmLoVWkW69OUn/nUDn2/N5clrenDPJV1c+toi4h2a+vtbfcQicm51vTn9x7u8yIFTPTop2kNHRFzMoaGrqKiosy75/qWCgoLzCiQiLUzOZti7Eiz+Ljvu4XRllTUcKCgHdPSDiLieQ4XO3Llz3Z1DRFqqzFfs33veAFGdXP7yu46WYBjQLiyYtqHaCkJEXMuhQufOO+90dw4RaYmKDttXWwEMcd1xD6fbkVu3I7LmzImI653XqquTJ09SXV3d4Jom+Ip4kTULwVYDnYdBQn+3vMWOHM3PERH3cXoycllZGQ8++CDt2rUjNDSUqKioBl8i4iUqiu07IYPLj3s4nc64EhF3crrQeeSRR1ixYgXz588nODiY1157jZkzZxIfH8/bb7/tjowiYoYf34bKYojpDt2ucMtbGIbBdu2hIyJu5PTQ1SeffMLbb7/NiBEj+MMf/sCwYcPo1q0bnTp14p133mHcuHHuyCkizclabT+lHGDIJPBzz04UR4oqKKmoIcDPwgWxoW55DxHxbU5/ehUUFNCli31Dr/Dw8Prl5Jdccgnfffeda9OJiDm2fgjFh6BNLPQZ67a3qZuf061dKEEB2tZLRFzP6U+Wrl27sn//fgB69OjBP/7xD8De0xMZ6fqNxESkmRkGZNZuEHjxfRAY4ra3ql9xpYnIIuImThc6d999N5s2bQJg+vTp9XN1pk6dyp///GeXBxSRZrZ/FeRsgoBWMPAet77V9toeHS0tFxF3cXqOztSpU+vbI0eOZMeOHaxfv54LLriA1NRUl4YTERPUHffQ73ZoHe3Wt1KPjoi423mfXp6UlERSUpIrsoiI2fK2w89fAhYY8oBb36qi2sreY6UApKhHR0TcpEmFztdff83XX39NXl4eNputwWOvv/66S4KJiAky59m/p1wL0V3d+la780qxGRDVOpB2YTr6QUTcw+lCZ+bMmcyaNYsBAwYQFxfn8GGfItLCleTCZvviAtInu/3t6ubndO8Qps8REXEbpwudhQsX8uabb3LHHXe4I4+ImGXtYrBWQeIgSBzo9rc7NT9Hw1Yi4j5Or7qqqqoiPT3dHVlExCxVZbBuib3txuMeTrezttBJ0dEPIuJGThc6EyZM4O9//7s7soiIWbLegYpC+7yc7lc1y1vu0NEPItIMnB66qqioYPHixXz11Vf06dOHwMDABo/PmTPHZeFEpBnYrKcmIQ+ZBH7+bn/LYyWVHC+twmKBi9qrR0dE3MfpQmfz5s307dsXgC1btjR4TBMKRTzQ9k+g8AC0iobU25rlLeuGrTq3bUOrIPcXViLiu5wudL755ht35BARMxgGZLxsb198LwS1bpa3rRu26q7eHBFxs/M6Re/QoUMcPnzYVVlEpLllr4bDG8A/GAbe22xvW7/iShORRcTNnC50bDYbs2bNIiIigk6dOpGUlERkZCRPP/30GZsHikgLV3fcQ99bITS22d721ERkFToi4l5OD109/vjjLFmyhOeee46hQ4diGAY//PADTz31FBUVFTzzzDPuyCkirnb8Z9i5zN4ePKlQeBMxAAAgAElEQVTZ3rbGauPno/ajH7TiSkTczelC56233uK1117juuuuq7+WmppKQkICDzzwgAodEU+R+QpgwEWjIfaiZnvb/fnlVNbYaBXoT1J088wJEhHf5fTQVUFBAcnJyWdcT05OpqCgwCWhRMTNyo7Dpnft7WbaILBO3YqrizqE4eenlZoi4l5OFzqpqanMmzfvjOvz5s0jNTXVJaFExM3WvQY1FRDfHzo1707ndfNzUjQ/R0SagdNDV88//zxXX301X331FUOGDMFisZCRkcHBgwdZtmyZOzKKiCtVn7SfawX23pxm3v9qe469R6e7Ch0RaQZO9+gMHz6cXbt2ceONN1JYWEhBQQFjxoxh586dDBs2zB0ZRcSVNr0L5fkQmQQp1537fhfbeVRHP4hI83G6RwcgPj5ek45FPJHNBhm1Q8+DJ4F/kz4Cmqy0soaDBScBLS0Xkebh0Kfc5s2b6dWrF35+fmzevPlX7+3Tp49LgomIG+z6DAr2QEgE9Lu92d++biJy+/BgotoENfv7i4jvcajQ6du3L7m5ubRr146+fftisVgwDOOM+ywWC1ar1eUhRcRF6jYIHPAHCA5t9rfXieUi0twcKnT27dtHbGxsfVtEPNCh9ZCdCX6BcPF9pkSo69HRsJWINBeHCp1OnTrVtw8cOEB6ejoBAQ2fWlNTQ0ZGRoN7RaQFqevN6XMLhMeZEmFHjs64EpHm5fSqq5EjRza6MWBRUREjR450SSgRcbGCfbD9Y3t7yIOmRDAMg+31p5Zr6EpEmofThY5hGFga2XcjPz+fNm3auCSUiLjY6gVg2KDb5dC+hykRcooqKKmoIcDPwgXt9FkhIs3D4bWlY8aMAewTju+66y6Cg4PrH7NarWzevJn09ObdYVVEHFBeAFl/tbeb+biH09VNRO4a24bgAH/TcoiIb3G40ImIiADsPTphYWG0atWq/rGgoCAGDx7Mvffe6/qEInJ+1r8O1eXQoTd0GW5ajB31E5E1bCUizcfhQueNN94AoHPnzvz5z3+mdWudOizS4tVUwppF9nb65GY/7uF0mogsImZweo7O+PHjOXz48BnXf/75Z/bv3++KTCLiKpv/AWV5EJ4APW80NcqpPXRU6IhI83G60LnrrrvIyMg44/qaNWu46667XJFJRFzBMCCz9riHQRPBP9C0KBXVVvYcKwMgJU5DVyLSfJwudLKyshg6dOgZ1wcPHszGjRtdEkpEXGD3V3BsBwSFQdqd5kbJK8VqM4hoFUiH8BBTs4iIb3G60LFYLJSUlJxxvaioSMc/iLQkGS/bv6fdaT/bykTbcuzDVilxYY1uTyEi4i5OFzrDhg1j9uzZDYoaq9XK7NmzueSSS1waTkSa6MhG2Pcd+AXA4PvNTsP2+kJHw1Yi0rwcXnVV5/nnn+fSSy+le/fuDBs2DIBVq1ZRXFzMihUrXB5QRJqgbm5OzzEQ0dHcLKjQERHzON2j06NHDzZv3swtt9xCXl4eJSUljB8/nh07dtCrVy93ZBQRZxQehC1L7e10c457OJ1hGGyvXVreQ4WOiDQzp3t0AOLj43n22WddnUVEXGHNQjCs9s0B41LNTkNOUQVFJ6vx97PQrV2o2XFExMc0qdABKC8vJzs7m6qqqgbX+/Tpc96hRKSJKopgw1v2tonHPZyubv+cC2LbEBKoox9EpHk5XegcO3aMu+++m88++6zRx7XySsREG96CqhKITbYf4NkC1A1baX6OiJjB6Tk6U6ZM4cSJE6xevZpWrVrx+eef89Zbb3HhhRfy8ccfuyOjiDiipsp+SjnYe3NayDLubZqILCImcrpHZ8WKFXz00UcMHDgQPz8/OnXqxBVXXEF4eDizZ8/m6quvdkdOETmXrR9AyREIbQ+9f2d2mnpacSUiZnK6R6esrIx27doBEB0dzbFjxwDo3bs3P/74o2vTiYhjDAMy/tfeHnQfBASbm6fWySor+4/XHf2gM65EpPk5Xeh0796dnTt3AtC3b18WLVrE4cOHWbhwIXFxcS4PKCIO2LsSjv4EgW0g7W6z09TbebQEmwExoUG0C9PRDyLS/JweupoyZQo5OTkAzJgxgyuvvJJ33nmHoKAg3nzzTVfnExFH1PXm9L8DWkebm+U0GrYSEbM5XeiMGzeuvt2vXz/279/Pjh07SEpKIiYmxqXhRMQBuVtgz9dg8WsRxz2cToWOiJjNqaGr6upqunbtyrZt2+qvtW7dmv79+6vIETFL5iv27ynXQVRnU6P80vbTDvMUETGDU4VOYGAglZWVLj99eP78+XTp0oWQkBDS0tJYtWqVQ8977733sFgs3HDDDS7NI+IxinPgp3/a2y1kg8A6hmGwQ3voiIjJnJ6M/NBDD/Hf//3f1NTUuCTA+++/z5QpU3j88cfJyspi2LBhjB49muzs7F993oEDB/jTn/5Uf7CoiE9auwhs1ZCUDh0HmJ2mgUMnTlJSWUOQvx8XxOroBxExh9NzdNasWcPXX3/Nl19+Se/evWnTpk2Dx5cuXerU682ZM4d77rmHCRMmADB37ly++OILFixYwOzZsxt9jtVqZdy4ccycOZNVq1ZRWFjo7D9DxPNVlsD61+3tFtabA6c2CuzWLpRAf6f/phIRcQmnC53IyEhuuukml7x5VVUVGzZs4LHHHmtwfdSoUWRkZJz1ebNmzSI2NpZ77rnH4WEuEa+T9Tf72VZtu8FFvzU7zRnq5ucka36OiJjIoULn448/ZvTo0QQGBvLGG2+47M2PHz+O1Wqlffv2Da63b9+e3NzcRp/zww8/sGTJEjZu3OjQe1RWVlJZWVn/c3FxcdMDi7QU1hrInG9vD3kQ/Fpej0ldodND83NExEQOfTreeOON9cND/v7+5OXluTTELyc3G4bR6ITnkpISbr/9dl599VWHV3nNnj2biIiI+q/ExESXZBYx1faPoCgbWsdA6u/NTtMoHeYpIi2BQ4VObGwsq1evBs5ehDRFTEwM/v7+Z/Te5OXlndHLA7Bnzx7279/PtddeS0BAAAEBAbz99tt8/PHHBAQEsGfPnjOeM336dIqKiuq/Dh486JLsIqY5/biHi++FwFbm5mlESUU12QXlgAodETGXQ0NXEydO5Prrr8disWCxWOjQocNZ77VarQ6/eVBQEGlpaSxfvpwbb7yx/vry5cu5/vrrz7g/OTmZn376qcG1J554gpKSEl566aVGe2uCg4MJDm4Z5/6IuMSBDDiSBQEhMHCC2WkatTPX3pvTPjyY6DZBJqcREV/mUKHz1FNP8fvf/57du3dz3XXX8cYbbxAZGemSANOmTeOOO+5gwIABDBkyhMWLF5Odnc3EiRMBGD9+PAkJCcyePZuQkBB69erV4Pl1OX55XcRr1fXm9L0N2rTMjTq1I7KItBQOr7pKTk4mOTmZGTNm8Lvf/Y7WrVu7JMDYsWPJz89n1qxZ5OTk0KtXL5YtW0anTp0AyM7Oxq8FTrQUMcWxXbDrM8ACgyeZneasthy2Fzq94iNMTiIivs5iGIZhdojmVFxcTEREBEVFRYSH669N8TAfT4Yf34Lka+D375id5qyuemkV23KKWXh7Gr/tdfahbhERRzX197e6SkQ8RWkebHrP3m6BGwTWqayxsuuofY5OrwT9MSEi5lKhI+Ip1r4K1kroOBASB5md5qx25ZZSYzOIbB1IQmTLWxEmIr5FhY6IJ6gqh3Wv2tvpD4GLD9Z1pS1HigD7/BxXHwAsIuIspwqd6upqRo4cya5du9yVR0Qas/EdOHkCojrb5+e0YFsO1xY6CZqILCLmc6rQCQwMZMuWLforTaQ52aywuva4h8GTwM/f3DzncKrQ0fwcETGf00NX48ePZ8mSJe7IIiKN2bkMCvZCSCT0G2d2ml9VbbWxvXazQC0tF5GWwOnTy6uqqnjttddYvnw5AwYMoE2bNg0enzNnjsvCiQinNggcOAGC2vz6vSbbnVdKVY2NsOAAkqJds9eWiMj5cLrQ2bJlC/379wc4Y66OhrREXCx7DRxcA/5BcPEfzU5zTnXDVj3iw/Hz0+eBiJjP6ULnm2++cUcOEWlMZm1vTp+xEHbmQbctzdYj9h2Re2sisoi0EE1eXr57926++OILTp48CdhPNRcRF8rfA9s/tbeHPGhuFgf9pBVXItLCOF3o5Ofnc9lll3HRRRdx1VVXkZOTA8CECRP4j//4D5cHFPFZq+cDBlx4JbRLNjvNOVltBttqe3S04kpEWgqnC52pU6cSGBhIdnZ2g4M9x44dy+eff+7ScCI+q7wAsmrPskr3jN6cfcdLOVltpXWQP11iQs2OIyICNGGOzpdffskXX3xBx44dG1y/8MILOXDggMuCifi0dUug5iTEpULnYWancUjdieU94sLx10RkEWkhnO7RKSsra9CTU+f48eMEBwe7JJSIT6uugLWL7O30yS36uIfTaUdkEWmJnC50Lr30Ut5+++36ny0WCzabjRdeeIGRI0e6NJyIT9r8PpQdg4hE6HG92WkcVjcRuWe85ueISMvh9NDVCy+8wIgRI1i/fj1VVVU88sgjbN26lYKCAn744Qd3ZBTxHTYbZM6ztwffD/6B5uZxkK3BRGT16IhIy+F0j06PHj3YvHkzF198MVdccQVlZWWMGTOGrKwsLrjgAndkFPEdP38Jx3dBcAT0H292GodlF5RTUllDUIAf3dppIrKItBxO9+hkZ2eTmJjIzJkzG30sKSnJJcFEfFLdcQ8D7oLgMFOjOGPLEfuwVUpcOIH+Td6eS0TE5Zz+ROrSpQvHjh0743p+fj5dunRxSSgRn3T4RzjwPfgFwKCJZqdxSt2Kq16anyMiLYzThY5hGI2eaVVaWkpISIhLQon4pLq5Ob1uhvB4c7M4SSuuRKSlcnjoatq0aYB9ldWTTz7ZYIm51WplzZo19O3b1/UJRXzBiQOw9UN720M2CKxjGEb90FWveBU6ItKyOFzoZGVlAfYPtZ9++omgoKD6x4KCgkhNTeVPf/qT6xOK+II1C8GwQteR0KG32Wmcsj+/nMLyaoIC/OjewXPmFYmIb3C40Kk7tfzuu+/mpZdeIjxcY/EiLnHyBGx4y95Of8jcLE2QlX0CsJ9YHhSgicgi0rI4verqjTfecEcOEd+14U2oLoN2PeGC35idxmlZ2YUA9EuMNDmJiMiZnC50ANatW8c///lPsrOzqaqqavDY0qVLXRJMxCfUVMHqhfZ2+kMec9zD6TYetBc6fZNU6IhIy+N0P/N7773H0KFD2bZtGx988AHV1dVs27aNFStWEBGhiYgiTtnyLyjNhbA46HWT2WmcdrLKyvYc+9LyfklRJqcRETmT04XOs88+y//8z//w6aefEhQUxEsvvcT27du55ZZbtFmgiDMMAzJql5QPmggBQb9+fwu05UgRNTaDdmHBxEdoewkRaXmcLnT27NnD1VdfDUBwcDBlZWVYLBamTp3K4sWLXR5QxGvtWQF5WyEoFNLuMjtNk2ysnZ/TNzGy0f21RETM5nShEx0dTUlJCQAJCQls2bIFgMLCQsrLy12bTsSb1R330H88tPLM+S1ZB+0rrjRsJSItldOTkYcNG8by5cvp3bs3t9xyCw8//DArVqxg+fLlXHbZZe7IKOJ9cn+Cvd+Axd/jjns4Xf2KK01EFpEWyulCZ968eVRUVAAwffp0AgMD+f777xkzZgxPPvmkywOKeKW6uTk9b4CoTuZmaaLcogpyiirws0CfjlqIICItk9OFTnR0dH3bz8+PRx55hEceecSloUS8WtFh+2orgCGeddzD6TbWDlt17xBO66Am7VQhIuJ2Ts/RGTduHK+++iq7du1yRx4R77dmIdhqoPMwSOhvdpom07CViHgCpwud0NBQ/vKXv5CcnEx8fDy33norCxcuZMeOHe7IJ+JdKortOyGDRx73cLqsg9oRWURaPqcLnUWLFrFjxw6OHDnCnDlziIiI4KWXXqJnz57ExcW5I6OI9/jxbagshpju0O0Ks9M0WY3VxuZD6tERkZavySfwhYWFERUVRVRUFJGRkQQEBNChQwdXZhPxLtZq+7AVwJBJ4Oe5B2DuyC2hotpGWEgAXWNCzY4jInJWTn/SPvroowwePJiYmBieeOIJqqqqmD59OkePHiUrK8sdGUW8w7aPoOggtImFPmPNTnNe6oat+iZG4uenjQJFpOVyeqnECy+8QGxsLDNmzOD6668nJSXFHblEvIthQMbL9vbF90GgZx+XsLF+IrI2ChSRls3pQicrK4tvv/2WlStX8pe//AV/f3+GDx/OiBEjGDFihAofkcbsXwU5myCgFQy8x+w0561+R2RNRBaRFs7pQic1NZXU1FQmT54MwKZNm5g7dy6TJ0/GZrNhtVpdHlLE49Ud99Dvdmgd/ev3tnBF5dXsPVYG2IeuRERasibt8pWVlcXKlStZuXIlq1atori4mL59+zJy5EhX5xPxfHnb4ecvAQsMecDsNOdtY+1qqy4xbYhq43knrouIb3G60ImKiqK0tJTU1FRGjBjBvffey6WXXkp4eLg78ol4vsza4x5SroXoruZmcYENB+zDVurNERFP4HSh89e//lWFjYijSo7C5n/Y2+mTzc3iImv25gNwcRfPHoITEd/gdKFzzTXXuCOHiHdauxisVZA4CBIHmp3mvFVUW+uXlg/u2tbkNCIi5+a5O5aJtHRVZbDuNXvbw497qJOVXUhVjY324cF0btva7DgiIuekQkfEXbLegYpC+7yc7leZncYlVtcOWw3u2haLRRsFikjLp0JHxB1s1lOTkIdMAj9/c/O4yOmFjoiIJ1ChI+IO2z+BwgPQKhpSbzM7jUtofo6IeCIVOiKu1uC4h3shyDvmsmh+joh4IhU6Iq6WvRoObwD/YBh4r9lpXEbzc0TEE6nQEXG1urk5fW+F0Fhzs7iQ5ueIiCdSoSPiSsd3w47/s7cHTzI3iwtpfo6IeCoVOiKutPoVwICLRkPsRWancZm6+TntwjQ/R0Q8iwodEVcpOw4b/25ve8kGgXU0P0dEPJUKHRFXWfca1FRAfH/olG52GpfS/BwR8VQqdERcofqk/VwrsPfmeFGvR8P5OTrIU0Q8iwodEVfY9C6U50NkEqRcZ3Yalzp9fk6XmDZmxxERcUqLKHTmz59Ply5dCAkJIS0tjVWrVp313ldffZVhw4YRFRVFVFQUl19+OWvXrm3GtCK/YLNB5iv29uBJ4B9gbh4X0/wcEfFkphc677//PlOmTOHxxx8nKyuLYcOGMXr0aLKzsxu9f+XKldx666188803ZGZmkpSUxKhRozh8+HAzJxeptetzyN8NIRHQ73az07ic5ueIiCezGIZhmBlg0KBB9O/fnwULFtRfS0lJ4YYbbmD27NnnfL7VaiUqKop58+Yxfvz4c95fXFxMREQERUVFhIeHn1d2EQBeHw3ZGXDJVLj8KbPTuNTJKiups76kqsbGiv8YTtfYULMjiYiPaurvb1N7dKqqqtiwYQOjRo1qcH3UqFFkZGQ49Brl5eVUV1cTHd34JMnKykqKi4sbfIm4zKH19iLHLxAuvs/sNC6Xsec4VTU2EiJbaX6OiHgkUwud48ePY7Vaad++fYPr7du3Jzc316HXeOyxx0hISODyyy9v9PHZs2cTERFR/5WYmHjeuUXqZfyv/XufWyA8ztwsbvD1jjwAfpPcTvNzRMQjmT5HBzjjA9QwDIc+VJ9//nneffddli5dSkhISKP3TJ8+naKiovqvgwcPuiSzCAX7YPvH9vaQB83N4gaGYfDNaYWOiIgnMnV5SExMDP7+/mf03uTl5Z3Ry/NLL774Is8++yxfffUVffr0Oet9wcHBBAcHuySvSAOrF4Bhg26XQ/seZqdxue05JeQUVRAS6MeQCzQRWUQ8k6k9OkFBQaSlpbF8+fIG15cvX056+tl3ln3hhRd4+umn+fzzzxkwYIC7Y4qcqbwAsv5qb3vZcQ91vtlp7825pFsMIYH+JqcREWka0zf8mDZtGnfccQcDBgxgyJAhLF68mOzsbCZOnAjA+PHjSUhIqF+B9fzzz/Pkk0/y97//nc6dO9f3BoWGhhIaqhUh0kzWvw7V5dChN3QZbnYat/h6+1EARmrYSkQ8mOmFztixY8nPz2fWrFnk5OTQq1cvli1bRqdOnQDIzs7Gz+9Ux9P8+fOpqqri5ptvbvA6M2bM4KmnnmrO6OKraipPHfcwxLuOe6iTX1pZf+yD5ueIiCczvdABeOCBB3jggQcafWzlypUNft6/f7/7A4n8mp/+CaVHISweeo0xO41bfLvrGIYBPeLCiYtoZXYcEZEmaxGrrkQ8hmGcWlI++H7wDzQ3j5t8rdVWIuIlVOiIOGP3V3BsBwSFQdqdZqdxi2qrje92HQPgNykqdETEs6nQEXFGxsv272l32s+28kLr95+gpKKGtm2CSO0YaXYcEZHzokJHxFFHNsK+78AvwD5s5aVW7LCvthrePRZ/P++baC0ivkWFjoijMufZv/ccAxEdzc3iRitq5+dclvzrm3aKiHgCFToijig6BFuW2tvp3nfcQ539x8vYc6yMAD8Lwy6KMTuOiMh5U6Ej4ojVC8CwQpdLIS7V7DRuU9ebM7BzNOEh3rmiTER8iwodkXOpKIINb9nb6ZPNzeJmy37KAeAyrbYSES+hQkfkXDa8BVUlEJtsP8DTS2Xnl7P+wAn8LHBtarzZcUREXEKFjsivqamyD1uB/fBOLzzuoc5HGw8DMLRbDO3DQ0xOIyLiGip0RH7N1g+g5AiEtofevzM7jdsYhsEHtYXO9X0TTE4jIuI6KnREzub04x4G3QcBwebmcaOfDhex91gZIYF+XNlTy8pFxHuo0BE5m70r4ehPENgG0u42O41bfZBl7825okcHwrTaSkS8iAodkbOp2yCw/x3QOtrcLG5UY7XxyaYjANzYT5OQRcS7qNARaczRbfYDPC1+Xn3cA8D3u49zvLSK6DZBDLsw1uw4IiIupUJHpDF1vTkp10FUZ1OjuNuHtcNW1/aJI9BfHwki4l30qSbyS8U5sPkf9nb6Q+ZmcbOyyhq+2Go/xPOGflptJSLeR4WOyC+tXQS2akhKh44DzE7jVl9uy+VktZXObVvTNzHS7DgiIi6nQkfkdJUlsP51e9vLe3MAPsyyT0K+oV8CFi/eDFFEfJcKHZHTZf3NfrZV225w0W/NTuNWuUUVrPr5GAA3aJNAEfFSKnRE6lhrIHO+vT3kQfDz7v893s7cj82AiztH0zmmjdlxRETcwrs/yUWcsf1jKMqG1jGQ+nuz07hVeVUN76zJBuCeYV1MTiMi4j4qdESg4XEPF98Lga3MzeNm/9pwiKKT1XRq25rLU3Tkg4h4LxU6IgAHMuDIjxAQAgMnmJ3Graw2gyXf7wPgnku64O+nScgi4r1U6IjAqd6cvrdBmxhzs7jZV9uPciC/nIhWgdyc1tHsOCIibqVCR+TYLtj1GWCBwZPMTuN2r63aC8C4QUm0DgowOY2IiHup0BGpO+4h+WqI6WZuFjfbeLCQdftPEOhv4c70zmbHERFxOxU64ttK82DTe/a2D2wQWNebc22feNqHh5icRkTE/VToiG9b+ypYK6HjQEgcZHYatzp0opzPtuQCWlIuIr5DhY74rqpyWPeavZ3+EHj5EQivf78fq80g/YK29IyPMDuOiEizUKEjvmvT3+FkAUR1huRrzE7jVgfyy/jb6gMA3Df8ApPTiIg0HxU64ptsVsh8xd4ePAn8/M3N42azl+2gympj2IUxXHqhdy+fFxE5nQod8U07l0HBXgiJhH7jzE7jVqv35vP51lz8LPDE1T10SrmI+BQVOuKb6jYIHDgBgrz3QEurzeDpT7cBcNugJLp3CDM5kYhI81KhI74new0cXAP+QXDxH81O41b//vEQW48UExYSwNTLLzI7johIs1OhI74ns7Y3p89YCPPeAy1LK2t44YudAEz+zYW0DQ02OZGISPNToSO+pWAvbP/U3h7yoLlZ3GzByt0cK6mkc9vW2gVZRHyWCh3xLZnzAQMuvBLaJZudxm32Hy/j1VX2E8qnX5VCUID+VxcR36RPP/Ed5QWQ9Td7O917e3Mqa6w8+O6PVNXYGNqtLaN6eO/wnIjIuajQEd+xbgnUnIS4VOg8zOw0bvPcZzvYcriYqNaBvPi7VC0nFxGfpkJHfEN1BaxdZG+nT/ba4x6WbzvKGz/sB+DF36USF9HK3EAiIiZToSO+YfP7UHYMIhKhx/Vmp3GLI4Un+fO/NgFwzyVduCxFQ1YiIip0xPvZbJA5z94efD/4B5qbxw1qrDYmv5tFYXk1fTpG8OhvvXeitYiIM1ToiPf7+Us4vguCI6D/eLPTuMULX+xk/YEThAYH8L+39tMqKxGRWvo0FO9X15sz4C4I9r4jEOat+JlF3+0FYPaY3nRq671HWoiIOEuFjni3wz/C/lXgFwCDJpqdxuUWfbuHF7/cBcBjo5O5NjXe5EQiIi2LCh3xbnW9Ob1uhnDvKgKWfL+P2Z/tAOBPoy5i4vALTE4kItLyqNAR73XiAGz90N72sg0C387cX38q+eTLLuTB31xobiARkRYqwOwAIm6zZiEYVug6Ejr0NjuNS9RYbcz96mfmfbMbgPtHXMDUy1XkiIicjQod8U4nT8CGt+zt9IfMzeIiecUVTH4vi9V7CwC4b3hXHrmyu3Y+FhH5FSp0xDtteBOqy6BdT7jgN2anOW8Ze44z+d2NHC+tpE2QP7Nv6sN1mngsInJOKnTE+9RUwZq64x4e8ujjHsoqa1iwcg/zV+7GZkByhzBeGdefC2JDzY4mIuIRVOiI99nybyjJgbA46HWT2WmapMZq458bDjFn+S6OlVQCMHZAIk9d15NWQf4mpxMR8RwqdMS7GAZk/K+9PWgiBASZm8dJhmHwzc48Zi/bwc95pQAkRbdm+uhkRveOMzmdiIjnUaEj3qnmzQ4AABbZSURBVGXPCsjbCkGhkHaX2Wkcdry0kqU/HuK9dQfZe6wMgMjWgUz+zYWMG5xEcIB6cUREmkKFjng+qxVWrYKcHMhbaL/Wfzy0ijQ31zmUVFSTuSefD7IOs3zbUWpsBgCtg/y5Y0gnHhjRjYhW3ncAqYhIc2oRGwbOnz+fLl26EBISQlpaGqtWrfrV+//973/To0cPgoOD6dGjBx988EEzJZUWZ+lS6NwZRo6EqbfDiY1gAwq7mJ3sDBXVVjYcKOClr37m5gUZ9Ju1nD/+dQOfbcmlxmbQNzGS58b0Zu3jlzN9dIqKHBERFzC9R+f9999nypQpzJ8/n6FDh7Jo0SJGjx7Ntm3bSEpKOuP+zMxMxo4dy9NPP82NN97IBx98wC233ML333/PoEGDTPgXiGmWLoWbb7bPywEYUjsfZ1s1/NdECIqBMWOaNZJhGBSdrOZw4UkOnzjJz3ml7MgtYXtOMXuPlVLbaVOvc9vWjExuxy0DEkmJC2/WrCIivsBiGIZx7tvcZ9CgQfTv358FCxbUX0tJSeGGG25g9uzZZ9w/duxYiouL+eyzz+qv/fa3vyUqKop33333nO9XXFxMREQERUVFhIe77hdLZY21fnWMNAOrlQ6pKfgfOYwFIMwCD4eCvwUWl2LkGljjE8jJ2gb+Dee3GAYYGPX1kc0wsBn271abgc0wqLEaVFttVFltVFsNqmpsnKy2crKqhvIqK+VVVoorqiksq6bwZBUnyqvJL60kp6iC8irrWWNHtwlicNdoLukWy7ALY0iMbu2+/0YiIl6kqb+/Te3RqaqqYsOGDTz22GMNro8aNYqMjIxGn5OZmcnUqVMbXLvyyiuZO3duo/dXVlZSWXmqACkuLj7P1I3beqSYMfMbzyyuNzj7/7d370FRnecfwL+HZXe5rUgEuQfCEhC8BIXUiFIgpsHQISRpI06tKJO2wZAZQCvRUeIlxvu1aaINGs20jtvU26RKqlJZg6CtWqhNISZegEYhlhQjYBQW3t8f/Dhx5RKWyIFdvp+ZneE8+55znn12dZ895z27F2C4fu3bwERNe5Nz1QTUtEECYH/tCyzI/C3OPDxO8fzcXTTwGe6IwBHOCPMehjBvHcK8h2GkTstvMiYiUtCANjp1dXVobW2Fp6enWdzT0xO1tbVdrlNbW2vR+NWrV2P58uUPJuEeSAC09oNiytOQ4PPNTfOAVgLaBHC6udM4B7X58yJBgiS1P2eS1P63yk6CndRxA9QqO2js7WBvJ0GtsoPa3g5OahWcNCo4alRwVKswzFENNyc1XJ00cHNSw82pvbnxdnWAg5pXSRERDQYDPkcHQKdPuEKIHj/1WjJ+0aJFmDdvnrx869Yt+Pv7f49suzb+YTdcXPnMA98udcPoCBxa9+3ykTtA0V3glvmZ2E2Zz2BTXJyyuRER0aAxoI2Ou7s7VCpVp6MxN27c6HTUpoOXl5dF47VaLbRa7YNJmAaPmBjAzw+4du3bycj3NjmS1H5/TMzA5EdERIPCgJ5r0Wg0iIyMxPHjx83ix48fR3R0dJfrTJo0qdP4Y8eOdTuebJRKBWzd2v73/UfzOpa3bOk0EZmIiIaWAZ9UMm/ePOzYsQPvvfceKioqkJ2djerqaqSnpwMAUlNTsWjRInl8ZmYmjh07hrVr1+LTTz/F2rVrUVBQgKysrIF6CDRQXngB2LcP8PU1j/v5tccVvrSciIgGnwGfo5OSkoKvvvoKK1asQE1NDcaMGYP8/HwEBAQAAKqrq2Fn920/Fh0dDYPBgCVLliA3Nxd6vR5//OMf+R06Q9ULLwDJyd9+M7K3d/vpKh7JISIiDILv0VFaf32PDhEREfWfvr5/D/ipKyIiIqL+wkaHiIiIbBYbHSIiIrJZbHSIiIjIZrHRISIiIpvFRoeIiIhsFhsdIiIisllsdIiIiMhmsdEhIiIimzXgPwGhtI4vgr5169YAZ0JERES91fG+bekPOgy5RqehoQEA4O/vP8CZEBERkaUaGhrg6ura6/FD7reu2tracP36deh0OkiS9EC3fevWLfj7++M///kPf0erH7HOymCdlcE6K4e1VkZ/1VkIgYaGBvj4+Jj92Pd3GXJHdOzs7ODn59ev+xg2bBj/ESmAdVYG66wM1lk5rLUy+qPOlhzJ6cDJyERERGSz2OgQERGRzVItW7Zs2UAnYUtUKhXi4uJgbz/kzgoqinVWBuusDNZZOay1MgZTnYfcZGQiIiIaOnjqioiIiGwWGx0iIiKyWWx0iIiIyGax0SEiIiKbxUbHQu+88w4eeeQRODg4IDIyEkVFRT2O379/P8LDw6HVahEeHo6DBw8qlKl1s6TOeXl5iImJgZubG9zc3PDUU0/h73//u4LZWi9LX88dDAYDJEnCc889188Z2gZL63zz5k1kZGTA29sbDg4OCAsLQ35+vkLZWi9L67xlyxaEhobC0dER/v7+yM7Oxp07dxTK1jp9/PHHSEpKgo+PDyRJwqFDh75znZMnTyIyMhIODg4ICgrC9u3bFcj0HoJ6zWAwCLVaLfLy8kR5ebnIzMwUzs7OoqqqqsvxJSUlQqVSiVWrVomKigqxatUqYW9vL86cOaNw5tbF0jr/7Gc/E2+//bYoLS0VFRUVIi0tTbi6uoovvvhC4cyti6V17lBZWSl8fX1FTEyMSE5OVihb62Vpne/evSuioqJEYmKiOHXqlKisrBRFRUWirKxM4cyti6V1/sMf/iC0Wq3Ys2ePuHr1qjh69Kjw9vYWWVlZCmduXfLz88XixYvF/v37BQBx8ODBHsdfuXJFODk5iczMTFFeXi7y8vKEWq0W+/btUyhjIdjoWOAHP/iBSE9PN4uNGjVKLFy4sMvx06dPF9OmTTOLJSQkiBkzZvRbjrbA0jrfz2QyCZ1OJ95///3+SM9m9KXOJpNJTJ48WezYsUPMnj2bjU4vWFrnbdu2iaCgINHc3KxEejbD0jpnZGSIJ5980iw2b948MWXKlH7L0db0ptHJyckRo0aNMou9/PLL4oknnujP1Mzw1FUvNTc34/z583j66afN4k8//TRKSkq6XOf06dOdxickJHQ7nvpW5/vdvn0bLS0teOihh/ojRZvQ1zqvWLECHh4eeOmll/o7RZvQlzp/+OGHmDRpEjIyMuDp6YkxY8Zg1apVaG1tVSJlq9SXOk+ZMgXnz5+XT3NfuXIF+fn5+PGPf9zv+Q4l3b0Pnjt3Di0tLYrkMPBfWWgl6urq0NraCk9PT7O4p6cnamtru1yntrbWovHUtzrfb+HChfD19cVTTz3VHynahL7Uubi4GDt37kRZWZkSKdqEvtT5ypUrOHHiBGbOnIn8/Hx8/vnnyMjIgMlkwuuvv65E2lanL3WeMWMG/vvf/2LKlCkQQsBkMmHu3LlYuHChEikPGd29D5pMJtTV1cHb27vfc2CjYyFJksyWhRCdYt9nPLXra93WrVuHvXv3wmg0wsHBob/Ssxm9rXNDQwN+/vOfIy8vD+7u7kqlZzMseT23tbVh5MiRePfdd6FSqRAZGYnr169j/fr1bHS+gyV1NhqNePPNN/HOO+9g4sSJuHTpEjIzM+Ht7Y3c3Fwl0h0yunpeuor3FzY6veTu7g6VStXp08GNGzc6dasdvLy8LBpPfatzhw0bNmDVqlUoKCjAuHHj+jNNq2dpnS9fvozKykokJSXJsba2NgCAvb09Ll68CL1e379JW6G+vJ69vb2hVquhUqnkWFhYGGpra9Hc3AyNRtOvOVujvtQ5NzcXs2bNwi9+8QsAwNixY9HU1IRf/epXWLx4MezsOLPjQejufdDe3h4jRoxQJAc+k72k0WgQGRmJ48ePm8WPHz+O6OjoLteZNGlSp/HHjh3rdjz1rc4AsH79erzxxhv4y1/+gqioqP5O0+pZWudRo0bhX//6F8rKyuTbs88+i/j4eJSVlcHf31+p1K1KX17PkydPxqVLl+RGEgA+++wzeHt7s8npRl/qfPv27U7NjEqlgmi/SKffch1qunsfjIqKglqtViYJxaY924COyxd37twpysvLRVZWlnB2dhaVlZVCCCFmzZplNsO/uLhYqFQqsWbNGlFRUSHWrFnDy8t7wdI6r127Vmg0GrFv3z5RU1Mj3xoaGgbqIVgFS+t8P1511TuW1rm6ulq4uLiIV199VVy8eFEcPnxYjBw5UqxcuXKgHoJVsLTOS5cuFTqdTuzdu1dcuXJFHDt2TOj1ejF9+vSBeghWoaGhQZSWlorS0lIBQGzatEmUlpbKl/EvXLhQzJo1Sx7fcXl5dna2KC8vFzt37uTl5YPd22+/LQICAoRGoxETJkwQJ0+elO+LjY0Vs2fPNhv/pz/9SYSGhgq1Wi1GjRol9u/fr3DG1smSOgcEBAgAnW5Lly5VPnErY+nr+V5sdHrP0jqXlJSIiRMnCq1WK4KCgsSbb74pTCaTwllbH0vq3NLSIpYtWyb0er1wcHAQ/v7+4pVXXhH19fUDkLn1KCws7PL/247azp49W8TGxpqtYzQaxfjx44VGoxGBgYFi27ZtiuYsCcFjdERERGSbOEeHiIiIbBYbHSIiIrJZbHSIiIjIZrHRISIiIpvFRoeIiIhsFhsdIiIisllsdIiIiMhmsdEhIiIim8VGh4joe9i9ezeGDx/e7/sJDAyEJEmQJAk3b97sMZ+OcVlZWf2eF9Fgx0aHyIpt374dOp0OJpNJjjU2NkKtViMmJsZsbFFRESRJwmeffdarbSv1Bt5Xy5YtQ0REhKL7DAwMxJYtW8xiKSkpva7p97VixQrU1NTA1dW12zEpKSmoqanBpEmTFMmJaLBjo0NkxeLj49HY2Ihz587JsaKiInh5eeHs2bO4ffu2HDcajfDx8UFISIiiOba2tpr9EvdgI4QwaxQt5ejoiJEjRz7AjLqn0+ng5eUFSZJ6zMfLy4u/dE70/9joEFmx0NBQ+Pj4wGg0yjGj0Yjk5GTo9XqUlJSYxePj4+XlTZs2YezYsXB2doa/vz9eeeUVNDY2ymPT0tLw9ddfy6dBli1bBgBobm5GTk4OfH194ezsjIkTJ5rtv+NI0OHDhxEeHg6tVouqqqpOudfX12PmzJnw8PCAo6MjHn30UezatUu+/7XXXkNISAicnJwQFBSE3NxctLS0yPtYvnw5/vnPf8r57d69G5WVlZAkCWVlZfJ2bt68CUmS5ByNRiMkScLRo0cRFRUFrVaLoqIiXL58GcnJyfD09ISLiwsef/xxFBQUyNuJi4tDVVUVsrOz5X3e+3jvtW3bNuj1emg0GoSGhuL3v/+92f2SJGHHjh14/vnn4eTkhEcffRQffvhht88zEfUdGx0iKxcXF4fCwkJ5ubCwEHFxcYiNjZXjzc3NOH36tFmjY2dnh9/85jf45JNP8P777+PEiRPIyckBAERHR2PLli0YNmwYampqUFNTg1//+tcAgLS0NBQXF8NgMODChQt48cUXMW3aNHz++efytm/fvo3Vq1djx44d+Pe//93lEY/c3FyUl5fjo48+QkVFBbZt2wZ3d3f5fp1Oh927d6O8vBxbt25FXl4eNm/eDKD99Mz8+fMxevRoOb+UlBSL6paTk4PVq1ejoqIC48aNQ2NjIxITE1FQUIDS0lIkJCQgKSkJ1dXVAIADBw7Az89PPn1UU1PT5XYPHjyIzMxMzJ8/H5988glefvllpKWlmT1HALB8+XJMnz4dFy5cQGJiImbOnIn//e9/Fj0GIuoFRX8rnYgeuHfffVc4OzuLlpYWcevWLWFvby++/PJLYTAYRHR0tBBCiJMnTwoA4vLly91u54MPPhAjRoyQl3ft2iVcXV3Nxly6dElIkiSuXbtmFp86dapYtGiRvB4AUVZW1mPeSUlJIi0trdePc926dSIyMlJeXrp0qXjsscfMxly9elUAEKWlpXKsvr5eABCFhYVCCCEKCwsFAHHo0KHv3Gd4eLh466235OWAgACxefNmszH31yk6Olr88pe/NBvz4osvisTERHkZgFiyZIm83NjYKCRJEh999FG3uXS1757ExsaKzMzMXo8nslU8okNk5eLj49HU1ISzZ8+iqKgIISEhGDlyJGJjY3H27Fk0NTXBaDTi4YcfRlBQkLxeYWEhfvSjH8HX1xc6nQ6pqan46quv0NTU1O2+/vGPf0AIgZCQELi4uMi3kydP4vLly/I4jUaDcePG9Zj33LlzYTAYEBERgZycHLPTbACwb98+TJkyBV5eXnBxcUFubq58dOVBiIqKMltuampCTk4OwsPDMXz4cLi4uODTTz+1eJ8VFRWYPHmyWWzy5MmoqKgwi91bH2dnZ+h0Oty4ccOifd37HKSnp1u0LtFQYT/QCRDR9xMcHAw/Pz8UFhaivr4esbGxAAAvLy888sgjKC4uRmFhIZ588kl5naqqKiQmJiI9PR1vvPEGHnroIZw6dQovvfSSPA+mK21tbVCpVDh//jxUKpXZfS4uLvLfjo6OPU6YBYBnnnkGVVVVOHLkCAoKCjB16lRkZGRgw4YNOHPmDGbMmIHly5cjISEBrq6uMBgM2LhxY4/btLNr/+wmhJBj3T0eZ2dns+UFCxbg6NGj2LBhA4KDg+Ho6Iif/vSnaG5u7nGfXbn/sQshOsXUanWndSydtH3vXKRhw4ZZmCXR0MBGh8gGxMfHw2g0or6+HgsWLJDjsbGxOHr0KM6cOYO0tDQ5fu7cOZhMJmzcuFFuDj744AOzbWo0GrS2tprFxo8fj9bWVty4caPT5et94eHhgTlz5mDOnDmIiYnBggULsGHDBhQXFyMgIACLFy+Wx94/obmr/Dw8PAAANTU1GD9+PADzZqAnRUVFmDNnDp5//nkA7ZfpV1ZWfuc+7xcWFoZTp04hNTVVjpWUlCAsLKxXeVgiODj4gW+TyNaw0SGyAfHx8cjIyEBLS4t8RAdob3Tmzp2LO3fumE1E1uv1MJlMeOutt5CUlITi4mJs377dbJuBgYFobGzEX//6Vzz22GNwcnJCSEgIZs6cidTUVGzcuBHjx49HXV0dTpw4gbFjxyIxMbHXOb/++uuIjIzE6NGjcffuXRw+fFhuBoKDg1FdXQ2DwYDHH38cR44cwcGDBzvld/XqVZSVlcHPzw86nQ6Ojo544oknsGbNGgQGBqKurg5LlizpVT7BwcE4cOAAkpKSIEkScnNzOx1hCQwMxMcff4wZM2ZAq9WaTZ7usGDBAkyfPh0TJkzA1KlT8ec//xkHDhwwu4KLiJTDOTpENiA+Ph7ffPMNgoOD4enpKcdjY2PR0NAAvV4Pf39/OR4REYFNmzZh7dq1GDNmDPbs2YPVq1ebbTM6Ohrp6elISUmBh4cH1q1bBwDYtWsXUlNTMX/+fISGhuLZZ5/F3/72N7Pt94ZGo8GiRYswbtw4/PCHP4RKpYLBYAAAJCcnIzs7G6+++ioiIiJQUlKC3Nxcs/V/8pOfYNq0aYiPj4eHhwf27t0LAHjvvffQ0tKCqKgoZGZmYuXKlb3KZ/PmzXBzc0N0dDSSkpKQkJCACRMmmI1ZsWIFKisrodfr5aNH93vuueewdetWrF+/HqNHj8bvfvc77Nq1C3FxcRbVh4geDEncezKbiIgGpcDAQGRlZfX6Zx3i4uIQERHR6ZuciYYaHtEhIrISr732GlxcXPD11193O2bPnj1wcXFBUVGRgpkRDV48okNEZAWqqqrkK8iCgoLkSeT3a2howJdffgkAGD58eJfziIiGEjY6REREZLN46oqIiIhsFhsdIiIisllsdIiIiMhmsdEhIiIim8VGh4iIiGwWGx0iIiKyWWx0iIiIyGax0SEiIiKb9X/KsphZmiCuzAAAAABJRU5ErkJggg==",
      "text/plain": [
       "Figure(PyObject <Figure size 640x480 with 1 Axes>)"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": "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",
      "text/plain": [
       "Figure(PyObject <Figure size 640x480 with 1 Axes>)"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": "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",
      "text/plain": [
       "Figure(PyObject <Figure size 640x480 with 1 Axes>)"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": "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",
      "text/plain": [
       "Figure(PyObject <Figure size 640x480 with 1 Axes>)"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": "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",
      "text/plain": [
       "Figure(PyObject <Figure size 640x480 with 1 Axes>)"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAjoAAAG0CAYAAAA7Go31AAAABHNCSVQICAgIfAhkiAAAAAlwSFlzAAAPYQAAD2EBqD+naQAAADl0RVh0U29mdHdhcmUAbWF0cGxvdGxpYiB2ZXJzaW9uIDMuMC4yLCBodHRwOi8vbWF0cGxvdGxpYi5vcmcvOIA7rQAAIABJREFUeJzs3Xd01HW+//HnpAPpJEASEoooCS1AQCCIwKq42EVXVlHUFVcUReDuqlz1h+BVvOpy0Ys0xbbrqluwXiwoomhCNYB0qaEkBBLSSZv5/v6YJBAJMhNm8s3MvB7n5OST73xn5oXnOHnnUy2GYRiIiIiIeCE/swOIiIiIuIsKHREREfFaKnRERETEa6nQEREREa+lQkdERES8lgodERER8VoqdERERMRrqdARERERr6VCR0RERLyWCh0RERHxWip0RERExGsFmB2gudlsNo4cOUJYWBgWi8XsOCIiIuIAwzAoKSkhPj4ePz/H+2l8rtA5cuQIiYmJZscQERGRJjh48CAdO3Z0+H6fK3TCwsIA+3+o8PBwk9OIiIiII4qLi0lMTKz/Pe4onyt06oarwsPDVeiIiIh4GGennWgysoiIiHgtFToiIiLitVToiIiIiNdSoSMiIiJeS4WOiIiIeC0VOiIiIuK1VOiIiIiI11KhIyIiIl5LhY6IiIh4LRU6IiIi4rVMLXS+++47rr32WuLj47FYLHz44YfnfM63335LWloaISEhdO3alYULFzZDUhEREfFEphY6ZWVlpKamMm/ePIfu37dvH1dddRXDhg0jKyuL//zP/2Ty5Mn8+9//dnNSERER8USmHuo5evRoRo8e7fD9CxcuJCkpiblz5wKQkpLC+vXrefHFF7npppvcFVNExKWsNoPSyhrKKmuwGYbZcURcLijAj3ZhIWbHADzs9PLMzExGjRrV4NqVV17JkiVLqK6uJjAw8IznVFZWUllZWf9zcXGx23OKiFRUW9mRW8LWI0VsPVLM1iPFHC2qoKSimrIqq9nxRNyqf1IkSx8YanYMwMMKndzcXNq3b9/gWvv27ampqeH48ePExcWd8ZzZs2czc+bM5oooIj6sssbK19vz+Of6g6z6+Tg1tl/vrQn0t+BnsTRTOpHmE+jfctY6eVShA2D5xYeCUdvt+8vrdaZPn860adPqfy4uLiYxMdF9AUXE52w7Usx767L5aOMRik5W119v2yaIHvHh9IyPoFdCOJ2i2xAWEkBYSAChIQEEB/ibmFrEN3hUodOhQwdyc3MbXMvLyyMgIIC2bds2+pzg4GCCg4ObI56I+JjC8ir++/OdvLs2u/5ah/AQbkpLYEz/jnSNaXPWP8JEpHl4VKEzZMgQPvnkkwbXvvzySwYMGNDo/BwREXcwDIMPNx7mvz7dTn5ZFQBX9e7A7wcmMbRbDP5+Km5EWgpTC53S0lJ2795d//O+ffvYuHEj0dHRJCUlMX36dA4fPszbb78NwMSJE5k3bx7Tpk3j3nvvJTMzkyVLlvDuu++a9U8QER+TnV/O9A8288PufAC6tQvl2Rt7c3GXaJOTiUhjTC101q9fz8iRI+t/rptLc+edd/Lmm2+Sk5NDdvapLuEuXbqwbNkypk6dyiuvvEJ8fDwvv/yylpaLSLPYcriIO19fS35ZFcEBfky+7ELuHdaVoICWM/FSRBqyGIZvbeJQXFxMREQERUVFhIeHmx1HRDzE2n0F3PPmOkoqa+gZH878cf3p1LaN2bFEfEZTf3971BwdEREzfLMjj4l/20BljY2LO0fz2l0DCA/RvEART6BCR0TkV3y08TD/8Y9N1NgMRnaPZf64NFoFaVm4iKdQoSMichbf7MxjyvsbMQy4LjWev9yS2qI2QhORc1OhIyLSiMOFJ5laW+T8Lq0j/31TH/y0bFzE4+hPExGRX6iqsfHg33+ksLya3gkR/NeNvVTkiHgoFToiIr/w3Gc7yMouJDwkgPnj+uuoBhEPpkJHROQ0n2/J4fUf9gHwl1v6khjd2uREInI+VOiIiNQ6kF/Gn/+5GYA/XtqVK3q0NzmRiJwvFToiIoDNZjDl/Y2UVNYwoFMUf76yu9mRRMQFVOiIiACfbD5CVnYhrYP8efnWflpGLuIl9H+yiPi8imorz3++E4D7h19AfGQrkxOJiKuo0BERn7fk+30cLjxJXEQIE4Z1NTuOiLiQCh0R8WnHSipZsHIPAH++sruOdxDxMip0RMSn/c9XuyitrKF3QgQ39E0wO46IuJgKHRHxWbuOlvDe2mwAnrg6Rbsfi3ghnXUlIr7FaoVVqyAnh39nFQIJjOoVz6Cubc1OJiJuoEJHRHzH0qXw8MNw6BAA04G7wmLwe/klYICp0UTEPVToiIhvWLoUbr4ZDKPB5Q4l+Vj+cDuEh8CYMSaFExF30RwdEfF+Vqu9J6euyGnnB53tq6ss1F6bMsV+n4h4FRU6IuL9Vq2qH64CYEQw3NkGhgfbfzYMOHjQfp+IeBUVOiLi/XJyTrWjLJBcO2q/tfrs94mIV1ChIyLeLy7uVHtIMFgssKsajtvOfp+IeAUVOiLi/YYNg44dMVr7Qd9A+7XMqlOPWyyQmGi/T0S8igodEfF+/v7w0kswIBACLXDECvtrJx5bajcJnDvXfp+IeBUVOiLiG669ipPDo+ztzMpT1zt2hH/9S0vLRbyU9tEREZ9wPONtYvzKOWxri9/TfyPuZKl9Ts6wYerJEfFiKnRExPvZbJDxvwB81/Z33HrDtSYHEpHmoqErEfF61Ts+I6Yym2KjNR0vu8/sOCLSjFToiIjXK/lmLgAf+Y9iaI8uJqcRkeakQkdEvNvhDUQfW0u14c/xnnfj52cxO5GINCMVOiLi1aw/2OfmfGwbwvCBqSanEZHmpkJHRLzXiQP4bfsIgI9bjaFfYqTJgUSkuanQERHvtXoBFmx8Z+1Nct90LBYNW4n4GhU6IuKdTp7A+PFtAF61Xs01feJNDiQiZlChIyLeaf0bWKrL2G5LJDtyEL0Sws1OJCImUKEjIt6npgrWLALg1ZqruSY1XsNWIj5KhY6IeJ8t/4LSXI4aUXxiS9ewlYgPU6EjIt7FMOqPe3i95rckxUaQ3CHM5FAiYhYVOiLiXfZ8DXnbqLC04l3rb7imj4atRHyZCh0R8S61vTnv1oygmDZcmxpnciARMZMKHRHxHjmbYe9KbBZ/ltT8luQOYXRrp2ErEV+mQkdEvEfmPAA2tLmUQ0Ysv+3VweRAImI2FToi4h2KDsOWfwPwYukoAIZfFGtmIhFpAVToiIh3WLMQbDUUdxjMmopORLYOpE9HnW0l4utU6IiI56sohg1vAvB15C0ADO0Wg7+fVluJ+DoVOiLi+X58GyqLIaY7bx2/CNCwlYjYqdAREc9mrYbVCwAoS7uPTYeLAbj0QhU6IqJCR0Q83dYPofgQtIllZfBvMAzo3j6MDhEhZicTkRZAhY6IeC7DgIyX7e2L7+ObPfbenOHd1ZsjInYqdETEc+37DnI3Q0ArjAF/YNXPxwANW4nIKSp0RMRz1R73QL/b2VkSyNHiSkIC/RjQOcrcXCLSYqjQERHPlLcddi8HLDDkAb7bZe/NGdy1LSGB/uZmE5EWQ4WOiHim2uMeSLkWorvybW2ho2XlInI6FToi4nlKcmHzP+zt9MmUV9Wwbt8JAC5VoSMip1GhIyKeZ+1isFZB4iBIHMiavQVUWW0kRLaia0wbs9OJSAuiQkdEPEtlKaxbYm+nPwRwatiqeywWi459EJFTTC905s+fT5cuXQgJCSEtLY1Vq1b96v1z586le/futGrVisTERKZOnUpFRUUzpRUR0218ByoKIbordL8KoH4ispaVi8gvmVrovP/++0yZMoXHH3+crKwshg0bxujRo8nOzm70/nfeeYfHHnuMGTNmsH37dpYsWcL777/P9OnTmzm5iJjCWgOZr9jbQyaBnz+5RRXsPV6GnwXSu7U1N5+ItDimFjpz5szhnnvuYcKECaSkpDB37lwSExNZsGBBo/dnZmYydOhQbrvtNjp37syoUaO49dZbWb9+fTMnFxFT7PgECg9Aq2hIvQ2AtfsLAOgZH0F4SKCZ6USkBTKt0KmqqmLDhg2MGjWqwfVRo0aRkZHR6HMuueQSNmzYwNq1awHYu3cvy5Yt4+qrrz7r+1RWVlJcXNzgS0Q8kGGc2iDw4nshqDUA62sLHW0SKCKNCTDrjY8fP47VaqV9+/YNrrdv357c3NxGn/P73/+eY8eOcckll2AYBjU1Ndx///089thjZ32f2bNnM3PmTJdmFxETZK+GwxvAPxgG3lt/ee0+e6Fzcedos5KJSAtm+mTkX66QMAzjrKsmVq5cyTPPPMP8+fP58ccfWbp0KZ9++ilPP/30WV9/+vTpFBUV1X8dPHjQpflFpJnU9eb0vRVC7ZOOi05Ws/NoCQBp6tERkUaY1qMTExODv7//Gb03eXl5Z/Ty1HnyySe54447mDBhAgC9e/emrKyMP/7xjzz++OP4+Z1ZtwUHBxMcHOz6f4CINJ/jP8POZfb24En1l3/MPoFhQOe2rWkXFmJSOBFpyUzr0QkKCiItLY3ly5c3uL58+XLS09MbfU55efkZxYy/vz+GYWAYhtuyiojJMl8BDLhoNMReVH95Xe2w1UANW4nIWZjWowMwbdo07rjjDgYMGMCQIUNYvHgx2dnZTJw4EYDx48eTkJDA7NmzAbj22muZM2cO/fr1Y9CgQezevZsnn3yS6667Dn9/HeIn4pVKj8Gmd+3t2g0C66zfbz/2QYWOiJyNqYXO2LFjyc/PZ9asWeTk5NCrVy+WLVtGp06dAMjOzm7Qg/PEE09gsVh44oknOHz4MLGxsVx77bU888wzZv0TRMTd1r0GNRUQ3x86nertrayxsvFQIaAVVyJydhbDx8Z8iouLiYiIoKioiPDwcLPjiMivqT4J/9MTyvPh5jeg15j6h9bvL+DmhZnEhAax7vHLdfSDiJdr6u9v01ddiYic1aZ37UVOZBKkXNfgoXW1w1YDOkWryBGRs1KhIyItk80GGfPs7cGTwL/hSPu62o0CB3bR/BwROTsVOiLSMu36DAr2QEgE9Lu9wUM2m1G/I/JAzc8RkV+hQkdEWqa6DQIH/AGCQxs8tCuvhOKKGloH+dMjTnPtROTsVOiISMtzcB1kZ4JfIFx83xkP183P6Z8URYC/PsZE5Oz0CSEiLU9mbW9On1sgPO6Mh+s2CtSychE5FxU6ItKyFOyD7Z/Y20MebPSWU/NzNBFZRH6dCh0RaVlWLwDDBt0uh/Y9znj4cOFJjhRV4O9noV9SpAkBRcSTqNARkZajvACy/mpv/+K4hzp1w1a94sNpHWTq5u4i4gFU6IhIy7H+daguhw69ocvwxm85UDc/R8NWInJuKnREpGWoqYQ1i+zt9Mlwlt2ONx0sAtCwlYg4RIWOiLQMm/8BZXkQngA9b2z0lsoaKztyiwFI7ahCR0TOTYWOiJjPZju1QeCgieAf2Oht23NKqLYaRLUOpGNUq2YMKCKeSoWOiJhv91dwfCcEhUHanWe9bfOhQgD6dIzUQZ4i4hCHliy8/PLLTr/w3XffTVhYmNPPExEflFH7GZN2p/1sq7Oom5+TmqhhKxFxjEOFzpQpU+jYsSP+/v4OvejBgwe55pprVOiIyLkd2Qj7V4FfAAy+/1dvrevRSe149mJIROR0Dm9CsX79etq1a+fQvSpwRMRhmfPs33uOgYiOZ72ttLKG3cdKAfvQlYiIIxyaozNjxgxCQ0PPfWOt//zP/yQ6WntciMg5FB6ELUvt7fTGj3uo89OhIgwD4iNCiA0LboZwIuINHOrRmTFjhlMvOn369CaFEREfs2YhGFb75oBxqb966+kTkUVEHHVeq66ee+45CgsLXZVFRHzJyULY8Ka9fZbjHk63+ZB9InKfRM3PERHHnVeh8+yzz1JQUOCqLCLiS358C6pKITbZfoDnOWyqn4isHh0Rcdx5FTqGYbgqh4j4kpoqWL3Q3k5/6KzHPdTJL63k0ImTAPRKUI+OiDhOGwaKSPPb+gGUHIHQ9tD7d+e8ffNh+7BV19g2RLRqfNdkEZHGOLy8vDHbtm0jPj7eVVlExBcYxmnHPdwHAedeQbW5bqNADVuJiJPOq9BJTEx0VQ4R8RV7V8LRnyCwDaTd7dBTTq240rCViDjHoaGr6Ohojh8/7vCLJiUlceDAgSaHEhEvVteb0/8OaH3u/bYMw2BT3Yor9eiIiJMc6tEpLCzks88+IyLCsb+m8vPzsVqt5xVMRLxQ7hbY8zVY/M553EOdnKIKjpdWEuBnoWd8uJsDioi3cXjo6s47z36isIiIQzJfsX9PuQ6iOjv0lE0H7cNWF7UPIyTQsfP2RETqOFTo2Gw2d+cQEW9XfAR++qe97cAGgXXqhq1StVGgiDSBlpeLSPNYswhs1ZCUDh0HOPw0Hf0gIudDhY6IuF9lCWx4w952ojfHZjP46ZCWlotI06nQERH3y/obVBRB225w0W8dftr+/DJKKmsIDvDjovahbgwoIt5KhY6IuJe1BjLn29tDHgQ/xz92th4pBiAlLpwAf31ciYjz9MkhIu61/SMoyobWMZD6e6eeui3HXuj00LJyEWkipwudcePGsXjxYnbt2uWOPCLiTQwDfnjZ3r74jxDYyqmn1/XoaP8cEWkqpwud0NBQ5syZQ3JyMvHx8dx6660sXLiQHTt2uCOfiHiyAz9AzkYICIGB9zj99G21hU6POBU6ItI0Thc6ixYtYseOHRw5coQ5c+YQERHBSy+9RM+ePYmLi3NHRhHxVHXHPfS9DdrEOPXUvGL7jsh+FkjuoEJHRJqmyXN0wsLCiIqKIioqisjISAICAujQoYMrs4mIJzu2E3Z9Dlhg8CSnn761dn5O19hQWgVpR2QRaRqnC51HH32UwYMHExMTwxNPPEFVVRXTp0/n6NGjZGVluSOjiHiiuuMekq+GmG5OP32b5ueIiAs4fNZVnRdeeIHY2FhmzJjB9ddfT0pKijtyiYgnK82DTe/Z205sEHg6zc8REVdwutDJysri22+/ZeXKlfzlL3/B39+f4cOHM2LECEaMGKHCR0Rg7atgrYSOAyFxUJNeYusR+47IPeN1xpWINJ3ThU5qaiqpqalMnjwZgE2bNjF37lwmT56MzWbDarW6PKSIeJCqclj3qr2d/hBYLE6/RGllDfvzywHtoSMi58fpQgfsvTorV65k5cqVrFq1iuLiYvr27cvIkSNdnU9EPM3Gd+DkCYjqDMnXNOklttdORI6LCCG6TZALw4mIr3G60ImKiqK0tJTU1FRGjBjBvffey6WXXkp4uP7qEvF5NuupSciDJ4Ff01ZLaSKyiLiK04XOX//6VxU2ItK4Hf8HJ/ZBSCT0G9fkl6mbn6OJyCJyvpwudK655lRX9KFDh7BYLCQkJLg0lIh4qLoNAgdOgKA2TX6ZuqMfemgisoicJ6f30bHZbMyaNYuIiAg6depEUlISkZGRPP3009hsNndkFBFPkL0GDq0F/yD7uVZNVFVj4+ejpYCGrkTk/Dndo/P444+zZMkSnnvuOYYOHYphGPzwww889dRTVFRU8Mwzz7gjp4i0dJm1vTl9xkJY+ya/zO68UqqsNsJCAugY5dwhoCIiv+R0ofPWW2/x2muvcd1119VfS01NJSEhgQceeECFjogvyt8D2z+1t4c8eF4vtS3n1EaBliYsTRcROZ3TQ1cFBQUkJyefcT05OZmCggKXhBIRD7N6PmDAhVdCuzM/H5yhjQJFxJWcLnRSU1OZN2/eGdfnzZtHamqqS0KJiAcpy4esd+zt9PPrzYHTjn7Q/BwRcQGnh66ef/55rr76ar766iuGDBmCxWIhIyODgwcPsmzZMndkFJGWbP0SqDkJcanQedh5vZRhGPVDV5qILCKu4HSPzvDhw9m1axc33ngjhYWFFBQUMGbMGHbu3MmwYef3ISciHqa6AtYutrfTJzfpuIfTHTpxkpKKGoL8/ejWLtQFAUXE1zXpCIj4+HhNOhYR2Pw+lB2DiETocf15v1zd/JyLOoQS6O/032EiImdwqNDZvHmzwy/Yp0+fJocREQ9is0Fm7Xy9wfeDf+B5v2T9/BztiCwiLuJQodO3b18sFguGYfzqfRaLRaeXi/iKn7+E47sgOAL6j3fJS56+tFxExBUc6hvet28fe/fuZd++fb/6tXfvXqcDzJ8/ny5duhASEkJaWhqrVq361fsLCwuZNGkScXFxhISEkJKSoknQImaoO+5hwF0QHOaSl9yeUwLo6AcRcR2HenRuvPFGvv76a6Kiopg1axZ/+tOfaN269Xm/+fvvv8+UKVOYP38+Q4cOZdGiRYwePZpt27aRlJR0xv1VVVVcccUVtGvXjn/961907NiRgwcPEhbmmg9ZEXHQ4Q1w4HvwC4BBE13yksUV1RwuPAlA9w76f1pEXMOhHp3t27dTVlYGwMyZMyktLXXJm8+ZM4d77rmHCRMmkJKSwty5c0lMTGTBggWN3v/6669TUFDAhx9+yNChQ+nUqROXXHKJ9u8RaW4ZtXNzet0M4fEueckdtb05CZGtiGh1/vN9RETAiTk6d999N5dccgmGYfDiiy8SGtr40s//9//+n0NvXFVVxYYNG3jssccaXB81ahQZGRmNPufjjz9myJAhTJo0iY8++ojY2Fhuu+02Hn30Ufz9/Rt9TmVlJZWVlfU/FxcXO5RPRM7ixAHY9qG97YINAuvsyLX/v5ms3hwRcSGHCp0333yTGTNm8Omnn2KxWPjss88ICDjzqRaLxeFC5/jx41itVtq3b3j4X/v27cnNzW30OXv37mXFihWMGzeOZcuW8fPPPzNp0iRqamrO+r6zZ89m5syZDmUSEQesXgCGDbqOhA69XfaydfNzkuNU6IiI6zhU6HTv3p333nsPAD8/P77++mvatWvnkgC/PLTPMIyzHuRns9lo164dixcvxt/fn7S0NI4cOcILL7xw1kJn+vTpTJs2rf7n4uJiEhMTXZJdxOecPAE/vm1vpz/k0pc+1aOjFVci4jpObxhos9lc8sYxMTH4+/uf0XuTl5d3Ri9Pnbi4OAIDAxsMU6WkpJCbm0tVVRVBQUFnPCc4OJjg4GCXZBbxeRvehOoyaNcTLviNy17WZjPYmWvv0UlRj46IuJBpW48GBQWRlpbG8uXLG1xfvnw56enpjT5n6NCh7N69u0GxtWvXLuLi4hotckTEhWqqYPVCezv9ofM+7uF0B0+UU15lJSjAj85t27jsdUVETN1jfdq0abz22mu8/vrrbN++nalTp5Kdnc3EifblquPHj2f69On1999///3k5+fz8MMPs2vXLv7v//6PZ599lkmTJpn1TxDxHVv+BaW5EBYHvW5y6UvXzc+5qH0oATr6QURcqElnXbnK2LFjyc/PZ9asWeTk5NCrVy+WLVtGp06dAMjOzsbP79SHXmJiIl9++SVTp06lT58+JCQk8PDDD/Poo4+a9U8Q8Q2GcWqDwEETIcC1PaianyMi7mIxznWug5cpLi4mIiKCoqIiwsP1oSrikN1fwd9ugqBQmLoVWkW69OUn/nUDn2/N5clrenDPJV1c+toi4h2a+vtbfcQicm51vTn9x7u8yIFTPTop2kNHRFzMoaGrqKiosy75/qWCgoLzCiQiLUzOZti7Eiz+Ljvu4XRllTUcKCgHdPSDiLieQ4XO3Llz3Z1DRFqqzFfs33veAFGdXP7yu46WYBjQLiyYtqHaCkJEXMuhQufOO+90dw4RaYmKDttXWwEMcd1xD6fbkVu3I7LmzImI653XqquTJ09SXV3d4Jom+Ip4kTULwVYDnYdBQn+3vMWOHM3PERH3cXoycllZGQ8++CDt2rUjNDSUqKioBl8i4iUqiu07IYPLj3s4nc64EhF3crrQeeSRR1ixYgXz588nODiY1157jZkzZxIfH8/bb7/tjowiYoYf34bKYojpDt2ucMtbGIbBdu2hIyJu5PTQ1SeffMLbb7/NiBEj+MMf/sCwYcPo1q0bnTp14p133mHcuHHuyCkizclabT+lHGDIJPBzz04UR4oqKKmoIcDPwgWxoW55DxHxbU5/ehUUFNCli31Dr/Dw8Prl5Jdccgnfffeda9OJiDm2fgjFh6BNLPQZ67a3qZuf061dKEEB2tZLRFzP6U+Wrl27sn//fgB69OjBP/7xD8De0xMZ6fqNxESkmRkGZNZuEHjxfRAY4ra3ql9xpYnIIuImThc6d999N5s2bQJg+vTp9XN1pk6dyp///GeXBxSRZrZ/FeRsgoBWMPAet77V9toeHS0tFxF3cXqOztSpU+vbI0eOZMeOHaxfv54LLriA1NRUl4YTERPUHffQ73ZoHe3Wt1KPjoi423mfXp6UlERSUpIrsoiI2fK2w89fAhYY8oBb36qi2sreY6UApKhHR0TcpEmFztdff83XX39NXl4eNputwWOvv/66S4KJiAky59m/p1wL0V3d+la780qxGRDVOpB2YTr6QUTcw+lCZ+bMmcyaNYsBAwYQFxfn8GGfItLCleTCZvviAtInu/3t6ubndO8Qps8REXEbpwudhQsX8uabb3LHHXe4I4+ImGXtYrBWQeIgSBzo9rc7NT9Hw1Yi4j5Or7qqqqoiPT3dHVlExCxVZbBuib3txuMeTrezttBJ0dEPIuJGThc6EyZM4O9//7s7soiIWbLegYpC+7yc7lc1y1vu0NEPItIMnB66qqioYPHixXz11Vf06dOHwMDABo/PmTPHZeFEpBnYrKcmIQ+ZBH7+bn/LYyWVHC+twmKBi9qrR0dE3MfpQmfz5s307dsXgC1btjR4TBMKRTzQ9k+g8AC0iobU25rlLeuGrTq3bUOrIPcXViLiu5wudL755ht35BARMxgGZLxsb198LwS1bpa3rRu26q7eHBFxs/M6Re/QoUMcPnzYVVlEpLllr4bDG8A/GAbe22xvW7/iShORRcTNnC50bDYbs2bNIiIigk6dOpGUlERkZCRPP/30GZsHikgLV3fcQ99bITS22d721ERkFToi4l5OD109/vjjLFmyhOeee46hQ4diGAY//PADTz31FBUVFTzzzDPuyCkirnb8Z9i5zN4ePKlQeBMxAAAgAElEQVTZ3rbGauPno/ajH7TiSkTczelC56233uK1117juuuuq7+WmppKQkICDzzwgAodEU+R+QpgwEWjIfaiZnvb/fnlVNbYaBXoT1J088wJEhHf5fTQVUFBAcnJyWdcT05OpqCgwCWhRMTNyo7Dpnft7WbaILBO3YqrizqE4eenlZoi4l5OFzqpqanMmzfvjOvz5s0jNTXVJaFExM3WvQY1FRDfHzo1707ndfNzUjQ/R0SagdNDV88//zxXX301X331FUOGDMFisZCRkcHBgwdZtmyZOzKKiCtVn7SfawX23pxm3v9qe469R6e7Ch0RaQZO9+gMHz6cXbt2ceONN1JYWEhBQQFjxoxh586dDBs2zB0ZRcSVNr0L5fkQmQQp1537fhfbeVRHP4hI83G6RwcgPj5ek45FPJHNBhm1Q8+DJ4F/kz4Cmqy0soaDBScBLS0Xkebh0Kfc5s2b6dWrF35+fmzevPlX7+3Tp49LgomIG+z6DAr2QEgE9Lu92d++biJy+/BgotoENfv7i4jvcajQ6du3L7m5ubRr146+fftisVgwDOOM+ywWC1ar1eUhRcRF6jYIHPAHCA5t9rfXieUi0twcKnT27dtHbGxsfVtEPNCh9ZCdCX6BcPF9pkSo69HRsJWINBeHCp1OnTrVtw8cOEB6ejoBAQ2fWlNTQ0ZGRoN7RaQFqevN6XMLhMeZEmFHjs64EpHm5fSqq5EjRza6MWBRUREjR450SSgRcbGCfbD9Y3t7yIOmRDAMg+31p5Zr6EpEmofThY5hGFga2XcjPz+fNm3auCSUiLjY6gVg2KDb5dC+hykRcooqKKmoIcDPwgXt9FkhIs3D4bWlY8aMAewTju+66y6Cg4PrH7NarWzevJn09ObdYVVEHFBeAFl/tbeb+biH09VNRO4a24bgAH/TcoiIb3G40ImIiADsPTphYWG0atWq/rGgoCAGDx7Mvffe6/qEInJ+1r8O1eXQoTd0GW5ajB31E5E1bCUizcfhQueNN94AoHPnzvz5z3+mdWudOizS4tVUwppF9nb65GY/7uF0mogsImZweo7O+PHjOXz48BnXf/75Z/bv3++KTCLiKpv/AWV5EJ4APW80NcqpPXRU6IhI83G60LnrrrvIyMg44/qaNWu46667XJFJRFzBMCCz9riHQRPBP9C0KBXVVvYcKwMgJU5DVyLSfJwudLKyshg6dOgZ1wcPHszGjRtdEkpEXGD3V3BsBwSFQdqd5kbJK8VqM4hoFUiH8BBTs4iIb3G60LFYLJSUlJxxvaioSMc/iLQkGS/bv6fdaT/bykTbcuzDVilxYY1uTyEi4i5OFzrDhg1j9uzZDYoaq9XK7NmzueSSS1waTkSa6MhG2Pcd+AXA4PvNTsP2+kJHw1Yi0rwcXnVV5/nnn+fSSy+le/fuDBs2DIBVq1ZRXFzMihUrXB5QRJqgbm5OzzEQ0dHcLKjQERHzON2j06NHDzZv3swtt9xCXl4eJSUljB8/nh07dtCrVy93ZBQRZxQehC1L7e10c457OJ1hGGyvXVreQ4WOiDQzp3t0AOLj43n22WddnUVEXGHNQjCs9s0B41LNTkNOUQVFJ6vx97PQrV2o2XFExMc0qdABKC8vJzs7m6qqqgbX+/Tpc96hRKSJKopgw1v2tonHPZyubv+cC2LbEBKoox9EpHk5XegcO3aMu+++m88++6zRx7XySsREG96CqhKITbYf4NkC1A1baX6OiJjB6Tk6U6ZM4cSJE6xevZpWrVrx+eef89Zbb3HhhRfy8ccfuyOjiDiipsp+SjnYe3NayDLubZqILCImcrpHZ8WKFXz00UcMHDgQPz8/OnXqxBVXXEF4eDizZ8/m6quvdkdOETmXrR9AyREIbQ+9f2d2mnpacSUiZnK6R6esrIx27doBEB0dzbFjxwDo3bs3P/74o2vTiYhjDAMy/tfeHnQfBASbm6fWySor+4/XHf2gM65EpPk5Xeh0796dnTt3AtC3b18WLVrE4cOHWbhwIXFxcS4PKCIO2LsSjv4EgW0g7W6z09TbebQEmwExoUG0C9PRDyLS/JweupoyZQo5OTkAzJgxgyuvvJJ33nmHoKAg3nzzTVfnExFH1PXm9L8DWkebm+U0GrYSEbM5XeiMGzeuvt2vXz/279/Pjh07SEpKIiYmxqXhRMQBuVtgz9dg8WsRxz2cToWOiJjNqaGr6upqunbtyrZt2+qvtW7dmv79+6vIETFL5iv27ynXQVRnU6P80vbTDvMUETGDU4VOYGAglZWVLj99eP78+XTp0oWQkBDS0tJYtWqVQ8977733sFgs3HDDDS7NI+IxinPgp3/a2y1kg8A6hmGwQ3voiIjJnJ6M/NBDD/Hf//3f1NTUuCTA+++/z5QpU3j88cfJyspi2LBhjB49muzs7F993oEDB/jTn/5Uf7CoiE9auwhs1ZCUDh0HmJ2mgUMnTlJSWUOQvx8XxOroBxExh9NzdNasWcPXX3/Nl19+Se/evWnTpk2Dx5cuXerU682ZM4d77rmHCRMmADB37ly++OILFixYwOzZsxt9jtVqZdy4ccycOZNVq1ZRWFjo7D9DxPNVlsD61+3tFtabA6c2CuzWLpRAf6f/phIRcQmnC53IyEhuuukml7x5VVUVGzZs4LHHHmtwfdSoUWRkZJz1ebNmzSI2NpZ77rnH4WEuEa+T9Tf72VZtu8FFvzU7zRnq5ucka36OiJjIoULn448/ZvTo0QQGBvLGG2+47M2PHz+O1Wqlffv2Da63b9+e3NzcRp/zww8/sGTJEjZu3OjQe1RWVlJZWVn/c3FxcdMDi7QU1hrInG9vD3kQ/Fpej0ldodND83NExEQOfTreeOON9cND/v7+5OXluTTELyc3G4bR6ITnkpISbr/9dl599VWHV3nNnj2biIiI+q/ExESXZBYx1faPoCgbWsdA6u/NTtMoHeYpIi2BQ4VObGwsq1evBs5ehDRFTEwM/v7+Z/Te5OXlndHLA7Bnzx7279/PtddeS0BAAAEBAbz99tt8/PHHBAQEsGfPnjOeM336dIqKiuq/Dh486JLsIqY5/biHi++FwFbm5mlESUU12QXlgAodETGXQ0NXEydO5Prrr8disWCxWOjQocNZ77VarQ6/eVBQEGlpaSxfvpwbb7yx/vry5cu5/vrrz7g/OTmZn376qcG1J554gpKSEl566aVGe2uCg4MJDm4Z5/6IuMSBDDiSBQEhMHCC2WkatTPX3pvTPjyY6DZBJqcREV/mUKHz1FNP8fvf/57du3dz3XXX8cYbbxAZGemSANOmTeOOO+5gwIABDBkyhMWLF5Odnc3EiRMBGD9+PAkJCcyePZuQkBB69erV4Pl1OX55XcRr1fXm9L0N2rTMjTq1I7KItBQOr7pKTk4mOTmZGTNm8Lvf/Y7WrVu7JMDYsWPJz89n1qxZ5OTk0KtXL5YtW0anTp0AyM7Oxq8FTrQUMcWxXbDrM8ACgyeZneasthy2Fzq94iNMTiIivs5iGIZhdojmVFxcTEREBEVFRYSH669N8TAfT4Yf34Lka+D375id5qyuemkV23KKWXh7Gr/tdfahbhERRzX197e6SkQ8RWkebHrP3m6BGwTWqayxsuuofY5OrwT9MSEi5lKhI+Ip1r4K1kroOBASB5md5qx25ZZSYzOIbB1IQmTLWxEmIr5FhY6IJ6gqh3Wv2tvpD4GLD9Z1pS1HigD7/BxXHwAsIuIspwqd6upqRo4cya5du9yVR0Qas/EdOHkCojrb5+e0YFsO1xY6CZqILCLmc6rQCQwMZMuWLforTaQ52aywuva4h8GTwM/f3DzncKrQ0fwcETGf00NX48ePZ8mSJe7IIiKN2bkMCvZCSCT0G2d2ml9VbbWxvXazQC0tF5GWwOnTy6uqqnjttddYvnw5AwYMoE2bNg0enzNnjsvCiQinNggcOAGC2vz6vSbbnVdKVY2NsOAAkqJds9eWiMj5cLrQ2bJlC/379wc4Y66OhrREXCx7DRxcA/5BcPEfzU5zTnXDVj3iw/Hz0+eBiJjP6ULnm2++cUcOEWlMZm1vTp+xEHbmQbctzdYj9h2Re2sisoi0EE1eXr57926++OILTp48CdhPNRcRF8rfA9s/tbeHPGhuFgf9pBVXItLCOF3o5Ofnc9lll3HRRRdx1VVXkZOTA8CECRP4j//4D5cHFPFZq+cDBlx4JbRLNjvNOVltBttqe3S04kpEWgqnC52pU6cSGBhIdnZ2g4M9x44dy+eff+7ScCI+q7wAsmrPskr3jN6cfcdLOVltpXWQP11iQs2OIyICNGGOzpdffskXX3xBx44dG1y/8MILOXDggMuCifi0dUug5iTEpULnYWancUjdieU94sLx10RkEWkhnO7RKSsra9CTU+f48eMEBwe7JJSIT6uugLWL7O30yS36uIfTaUdkEWmJnC50Lr30Ut5+++36ny0WCzabjRdeeIGRI0e6NJyIT9r8PpQdg4hE6HG92WkcVjcRuWe85ueISMvh9NDVCy+8wIgRI1i/fj1VVVU88sgjbN26lYKCAn744Qd3ZBTxHTYbZM6ztwffD/6B5uZxkK3BRGT16IhIy+F0j06PHj3YvHkzF198MVdccQVlZWWMGTOGrKwsLrjgAndkFPEdP38Jx3dBcAT0H292GodlF5RTUllDUIAf3dppIrKItBxO9+hkZ2eTmJjIzJkzG30sKSnJJcFEfFLdcQ8D7oLgMFOjOGPLEfuwVUpcOIH+Td6eS0TE5Zz+ROrSpQvHjh0743p+fj5dunRxSSgRn3T4RzjwPfgFwKCJZqdxSt2Kq16anyMiLYzThY5hGI2eaVVaWkpISIhLQon4pLq5Ob1uhvB4c7M4SSuuRKSlcnjoatq0aYB9ldWTTz7ZYIm51WplzZo19O3b1/UJRXzBiQOw9UN720M2CKxjGEb90FWveBU6ItKyOFzoZGVlAfYPtZ9++omgoKD6x4KCgkhNTeVPf/qT6xOK+II1C8GwQteR0KG32Wmcsj+/nMLyaoIC/OjewXPmFYmIb3C40Kk7tfzuu+/mpZdeIjxcY/EiLnHyBGx4y95Of8jcLE2QlX0CsJ9YHhSgicgi0rI4verqjTfecEcOEd+14U2oLoN2PeGC35idxmlZ2YUA9EuMNDmJiMiZnC50ANatW8c///lPsrOzqaqqavDY0qVLXRJMxCfUVMHqhfZ2+kMec9zD6TYetBc6fZNU6IhIy+N0P/N7773H0KFD2bZtGx988AHV1dVs27aNFStWEBGhiYgiTtnyLyjNhbA46HWT2WmcdrLKyvYc+9LyfklRJqcRETmT04XOs88+y//8z//w6aefEhQUxEsvvcT27du55ZZbtFmgiDMMAzJql5QPmggBQb9+fwu05UgRNTaDdmHBxEdoewkRaXmcLnT27NnD1VdfDUBwcDBlZWVYLBamTp3K4sWLXR5QxGvtWQF5WyEoFNLuMjtNk2ysnZ/TNzGy0f21RETM5nShEx0dTUlJCQAJCQls2bIFgMLCQsrLy12bTsSb1R330H88tPLM+S1ZB+0rrjRsJSItldOTkYcNG8by5cvp3bs3t9xyCw8//DArVqxg+fLlXHbZZe7IKOJ9cn+Cvd+Axd/jjns4Xf2KK01EFpEWyulCZ968eVRUVAAwffp0AgMD+f777xkzZgxPPvmkywOKeKW6uTk9b4CoTuZmaaLcogpyiirws0CfjlqIICItk9OFTnR0dH3bz8+PRx55hEceecSloUS8WtFh+2orgCGeddzD6TbWDlt17xBO66Am7VQhIuJ2Ts/RGTduHK+++iq7du1yRx4R77dmIdhqoPMwSOhvdpom07CViHgCpwud0NBQ/vKXv5CcnEx8fDy33norCxcuZMeOHe7IJ+JdKortOyGDRx73cLqsg9oRWURaPqcLnUWLFrFjxw6OHDnCnDlziIiI4KWXXqJnz57ExcW5I6OI9/jxbagshpju0O0Ks9M0WY3VxuZD6tERkZavySfwhYWFERUVRVRUFJGRkQQEBNChQwdXZhPxLtZq+7AVwJBJ4Oe5B2DuyC2hotpGWEgAXWNCzY4jInJWTn/SPvroowwePJiYmBieeOIJqqqqmD59OkePHiUrK8sdGUW8w7aPoOggtImFPmPNTnNe6oat+iZG4uenjQJFpOVyeqnECy+8QGxsLDNmzOD6668nJSXFHblEvIthQMbL9vbF90GgZx+XsLF+IrI2ChSRls3pQicrK4tvv/2WlStX8pe//AV/f3+GDx/OiBEjGDFihAofkcbsXwU5myCgFQy8x+w0561+R2RNRBaRFs7pQic1NZXU1FQmT54MwKZNm5g7dy6TJ0/GZrNhtVpdHlLE49Ud99Dvdmgd/ev3tnBF5dXsPVYG2IeuRERasibt8pWVlcXKlStZuXIlq1atori4mL59+zJy5EhX5xPxfHnb4ecvAQsMecDsNOdtY+1qqy4xbYhq43knrouIb3G60ImKiqK0tJTU1FRGjBjBvffey6WXXkp4eLg78ol4vsza4x5SroXoruZmcYENB+zDVurNERFP4HSh89e//lWFjYijSo7C5n/Y2+mTzc3iImv25gNwcRfPHoITEd/gdKFzzTXXuCOHiHdauxisVZA4CBIHmp3mvFVUW+uXlg/u2tbkNCIi5+a5O5aJtHRVZbDuNXvbw497qJOVXUhVjY324cF0btva7DgiIuekQkfEXbLegYpC+7yc7leZncYlVtcOWw3u2haLRRsFikjLp0JHxB1s1lOTkIdMAj9/c/O4yOmFjoiIJ1ChI+IO2z+BwgPQKhpSbzM7jUtofo6IeCIVOiKu1uC4h3shyDvmsmh+joh4IhU6Iq6WvRoObwD/YBh4r9lpXEbzc0TEE6nQEXG1urk5fW+F0Fhzs7iQ5ueIiCdSoSPiSsd3w47/s7cHTzI3iwtpfo6IeCoVOiKutPoVwICLRkPsRWancZm6+TntwjQ/R0Q8iwodEVcpOw4b/25ve8kGgXU0P0dEPJUKHRFXWfca1FRAfH/olG52GpfS/BwR8VQqdERcofqk/VwrsPfmeFGvR8P5OTrIU0Q8iwodEVfY9C6U50NkEqRcZ3Yalzp9fk6XmDZmxxERcUqLKHTmz59Ply5dCAkJIS0tjVWrVp313ldffZVhw4YRFRVFVFQUl19+OWvXrm3GtCK/YLNB5iv29uBJ4B9gbh4X0/wcEfFkphc677//PlOmTOHxxx8nKyuLYcOGMXr0aLKzsxu9f+XKldx666188803ZGZmkpSUxKhRozh8+HAzJxeptetzyN8NIRHQ73az07ic5ueIiCezGIZhmBlg0KBB9O/fnwULFtRfS0lJ4YYbbmD27NnnfL7VaiUqKop58+Yxfvz4c95fXFxMREQERUVFhIeHn1d2EQBeHw3ZGXDJVLj8KbPTuNTJKiups76kqsbGiv8YTtfYULMjiYiPaurvb1N7dKqqqtiwYQOjRo1qcH3UqFFkZGQ49Brl5eVUV1cTHd34JMnKykqKi4sbfIm4zKH19iLHLxAuvs/sNC6Xsec4VTU2EiJbaX6OiHgkUwud48ePY7Vaad++fYPr7du3Jzc316HXeOyxx0hISODyyy9v9PHZs2cTERFR/5WYmHjeuUXqZfyv/XufWyA8ztwsbvD1jjwAfpPcTvNzRMQjmT5HBzjjA9QwDIc+VJ9//nneffddli5dSkhISKP3TJ8+naKiovqvgwcPuiSzCAX7YPvH9vaQB83N4gaGYfDNaYWOiIgnMnV5SExMDP7+/mf03uTl5Z3Ry/NLL774Is8++yxfffUVffr0Oet9wcHBBAcHuySvSAOrF4Bhg26XQ/seZqdxue05JeQUVRAS6MeQCzQRWUQ8k6k9OkFBQaSlpbF8+fIG15cvX056+tl3ln3hhRd4+umn+fzzzxkwYIC7Y4qcqbwAsv5qb3vZcQ91vtlp7825pFsMIYH+JqcREWka0zf8mDZtGnfccQcDBgxgyJAhLF68mOzsbCZOnAjA+PHjSUhIqF+B9fzzz/Pkk0/y97//nc6dO9f3BoWGhhIaqhUh0kzWvw7V5dChN3QZbnYat/h6+1EARmrYSkQ8mOmFztixY8nPz2fWrFnk5OTQq1cvli1bRqdOnQDIzs7Gz+9Ux9P8+fOpqqri5ptvbvA6M2bM4KmnnmrO6OKraipPHfcwxLuOe6iTX1pZf+yD5ueIiCczvdABeOCBB3jggQcafWzlypUNft6/f7/7A4n8mp/+CaVHISweeo0xO41bfLvrGIYBPeLCiYtoZXYcEZEmaxGrrkQ8hmGcWlI++H7wDzQ3j5t8rdVWIuIlVOiIOGP3V3BsBwSFQdqdZqdxi2qrje92HQPgNykqdETEs6nQEXFGxsv272l32s+28kLr95+gpKKGtm2CSO0YaXYcEZHzokJHxFFHNsK+78AvwD5s5aVW7LCvthrePRZ/P++baC0ivkWFjoijMufZv/ccAxEdzc3iRitq5+dclvzrm3aKiHgCFToijig6BFuW2tvp3nfcQ539x8vYc6yMAD8Lwy6KMTuOiMh5U6Ej4ojVC8CwQpdLIS7V7DRuU9ebM7BzNOEh3rmiTER8iwodkXOpKIINb9nb6ZPNzeJmy37KAeAyrbYSES+hQkfkXDa8BVUlEJtsP8DTS2Xnl7P+wAn8LHBtarzZcUREXEKFjsivqamyD1uB/fBOLzzuoc5HGw8DMLRbDO3DQ0xOIyLiGip0RH7N1g+g5AiEtofevzM7jdsYhsEHtYXO9X0TTE4jIuI6KnREzub04x4G3QcBwebmcaOfDhex91gZIYF+XNlTy8pFxHuo0BE5m70r4ehPENgG0u42O41bfZBl7825okcHwrTaSkS8iAodkbOp2yCw/x3QOtrcLG5UY7XxyaYjANzYT5OQRcS7qNARaczRbfYDPC1+Xn3cA8D3u49zvLSK6DZBDLsw1uw4IiIupUJHpDF1vTkp10FUZ1OjuNuHtcNW1/aJI9BfHwki4l30qSbyS8U5sPkf9nb6Q+ZmcbOyyhq+2Go/xPOGflptJSLeR4WOyC+tXQS2akhKh44DzE7jVl9uy+VktZXObVvTNzHS7DgiIi6nQkfkdJUlsP51e9vLe3MAPsyyT0K+oV8CFi/eDFFEfJcKHZHTZf3NfrZV225w0W/NTuNWuUUVrPr5GAA3aJNAEfFSKnRE6lhrIHO+vT3kQfDz7v893s7cj82AiztH0zmmjdlxRETcwrs/yUWcsf1jKMqG1jGQ+nuz07hVeVUN76zJBuCeYV1MTiMi4j4qdESg4XEPF98Lga3MzeNm/9pwiKKT1XRq25rLU3Tkg4h4LxU6IgAHMuDIjxAQAgMnmJ3Graw2gyXf7wPgnku64O+nScgi4r1U6IjAqd6cvrdBmxhzs7jZV9uPciC/nIhWgdyc1tHsOCIibqVCR+TYLtj1GWCBwZPMTuN2r63aC8C4QUm0DgowOY2IiHup0BGpO+4h+WqI6WZuFjfbeLCQdftPEOhv4c70zmbHERFxOxU64ttK82DTe/a2D2wQWNebc22feNqHh5icRkTE/VToiG9b+ypYK6HjQEgcZHYatzp0opzPtuQCWlIuIr5DhY74rqpyWPeavZ3+EHj5EQivf78fq80g/YK29IyPMDuOiEizUKEjvmvT3+FkAUR1huRrzE7jVgfyy/jb6gMA3Df8ApPTiIg0HxU64ptsVsh8xd4ePAn8/M3N42azl+2gympj2IUxXHqhdy+fFxE5nQod8U07l0HBXgiJhH7jzE7jVqv35vP51lz8LPDE1T10SrmI+BQVOuKb6jYIHDgBgrz3QEurzeDpT7cBcNugJLp3CDM5kYhI81KhI74new0cXAP+QXDxH81O41b//vEQW48UExYSwNTLLzI7johIs1OhI74ns7Y3p89YCPPeAy1LK2t44YudAEz+zYW0DQ02OZGISPNToSO+pWAvbP/U3h7yoLlZ3GzByt0cK6mkc9vW2gVZRHyWCh3xLZnzAQMuvBLaJZudxm32Hy/j1VX2E8qnX5VCUID+VxcR36RPP/Ed5QWQ9Td7O917e3Mqa6w8+O6PVNXYGNqtLaN6eO/wnIjIuajQEd+xbgnUnIS4VOg8zOw0bvPcZzvYcriYqNaBvPi7VC0nFxGfpkJHfEN1BaxdZG+nT/ba4x6WbzvKGz/sB+DF36USF9HK3EAiIiZToSO+YfP7UHYMIhKhx/Vmp3GLI4Un+fO/NgFwzyVduCxFQ1YiIip0xPvZbJA5z94efD/4B5qbxw1qrDYmv5tFYXk1fTpG8OhvvXeitYiIM1ToiPf7+Us4vguCI6D/eLPTuMULX+xk/YEThAYH8L+39tMqKxGRWvo0FO9X15sz4C4I9r4jEOat+JlF3+0FYPaY3nRq671HWoiIOEuFjni3wz/C/lXgFwCDJpqdxuUWfbuHF7/cBcBjo5O5NjXe5EQiIi2LCh3xbnW9Ob1uhnDvKgKWfL+P2Z/tAOBPoy5i4vALTE4kItLyqNAR73XiAGz90N72sg0C387cX38q+eTLLuTB31xobiARkRYqwOwAIm6zZiEYVug6Ejr0NjuNS9RYbcz96mfmfbMbgPtHXMDUy1XkiIicjQod8U4nT8CGt+zt9IfMzeIiecUVTH4vi9V7CwC4b3hXHrmyu3Y+FhH5FSp0xDtteBOqy6BdT7jgN2anOW8Ze44z+d2NHC+tpE2QP7Nv6sN1mngsInJOKnTE+9RUwZq64x4e8ujjHsoqa1iwcg/zV+7GZkByhzBeGdefC2JDzY4mIuIRVOiI99nybyjJgbA46HWT2WmapMZq458bDjFn+S6OlVQCMHZAIk9d15NWQf4mpxMR8RwqdMS7GAZk/K+9PWgiBASZm8dJhmHwzc48Zi/bwc95pQAkRbdm+uhkRveOMzmdiIjnUaEj3qnmzQ4AABbZSURBVGXPCsjbCkGhkHaX2Wkcdry0kqU/HuK9dQfZe6wMgMjWgUz+zYWMG5xEcIB6cUREmkKFjng+qxVWrYKcHMhbaL/Wfzy0ijQ31zmUVFSTuSefD7IOs3zbUWpsBgCtg/y5Y0gnHhjRjYhW3ncAqYhIc2oRGwbOnz+fLl26EBISQlpaGqtWrfrV+//973/To0cPgoOD6dGjBx988EEzJZUWZ+lS6NwZRo6EqbfDiY1gAwq7mJ3sDBXVVjYcKOClr37m5gUZ9Ju1nD/+dQOfbcmlxmbQNzGS58b0Zu3jlzN9dIqKHBERFzC9R+f9999nypQpzJ8/n6FDh7Jo0SJGjx7Ntm3bSEpKOuP+zMxMxo4dy9NPP82NN97IBx98wC233ML333/PoEGDTPgXiGmWLoWbb7bPywEYUjsfZ1s1/NdECIqBMWOaNZJhGBSdrOZw4UkOnzjJz3ml7MgtYXtOMXuPlVLbaVOvc9vWjExuxy0DEkmJC2/WrCIivsBiGIZx7tvcZ9CgQfTv358FCxbUX0tJSeGGG25g9uzZZ9w/duxYiouL+eyzz+qv/fa3vyUqKop33333nO9XXFxMREQERUVFhIe77hdLZY21fnWMNAOrlQ6pKfgfOYwFIMwCD4eCvwUWl2LkGljjE8jJ2gb+Dee3GAYYGPX1kc0wsBn271abgc0wqLEaVFttVFltVFsNqmpsnKy2crKqhvIqK+VVVoorqiksq6bwZBUnyqvJL60kp6iC8irrWWNHtwlicNdoLukWy7ALY0iMbu2+/0YiIl6kqb+/Te3RqaqqYsOGDTz22GMNro8aNYqMjIxGn5OZmcnUqVMbXLvyyiuZO3duo/dXVlZSWXmqACkuLj7P1I3beqSYMfMbzyyuNzj7/7d370FRnecfwL+HZXe5rUgEuQfCEhC8BIXUiFIgpsHQISRpI06tKJO2wZAZQCvRUeIlxvu1aaINGs20jtvU26RKqlJZg6CtWqhNISZegEYhlhQjYBQW3t8f/Dhx5RKWyIFdvp+ZneE8+55znn12dZ895z27F2C4fu3bwERNe5Nz1QTUtEECYH/tCyzI/C3OPDxO8fzcXTTwGe6IwBHOCPMehjBvHcK8h2GkTstvMiYiUtCANjp1dXVobW2Fp6enWdzT0xO1tbVdrlNbW2vR+NWrV2P58uUPJuEeSAC09oNiytOQ4PPNTfOAVgLaBHC6udM4B7X58yJBgiS1P2eS1P63yk6CndRxA9QqO2js7WBvJ0GtsoPa3g5OahWcNCo4alRwVKswzFENNyc1XJ00cHNSw82pvbnxdnWAg5pXSRERDQYDPkcHQKdPuEKIHj/1WjJ+0aJFmDdvnrx869Yt+Pv7f49suzb+YTdcXPnMA98udcPoCBxa9+3ykTtA0V3glvmZ2E2Zz2BTXJyyuRER0aAxoI2Ou7s7VCpVp6MxN27c6HTUpoOXl5dF47VaLbRa7YNJmAaPmBjAzw+4du3bycj3NjmS1H5/TMzA5EdERIPCgJ5r0Wg0iIyMxPHjx83ix48fR3R0dJfrTJo0qdP4Y8eOdTuebJRKBWzd2v73/UfzOpa3bOk0EZmIiIaWAZ9UMm/ePOzYsQPvvfceKioqkJ2djerqaqSnpwMAUlNTsWjRInl8ZmYmjh07hrVr1+LTTz/F2rVrUVBQgKysrIF6CDRQXngB2LcP8PU1j/v5tccVvrSciIgGnwGfo5OSkoKvvvoKK1asQE1NDcaMGYP8/HwEBAQAAKqrq2Fn920/Fh0dDYPBgCVLliA3Nxd6vR5//OMf+R06Q9ULLwDJyd9+M7K3d/vpKh7JISIiDILv0VFaf32PDhEREfWfvr5/D/ipKyIiIqL+wkaHiIiIbBYbHSIiIrJZbHSIiIjIZrHRISIiIpvFRoeIiIhsFhsdIiIisllsdIiIiMhmsdEhIiIimzXgPwGhtI4vgr5169YAZ0JERES91fG+bekPOgy5RqehoQEA4O/vP8CZEBERkaUaGhrg6ura6/FD7reu2tracP36deh0OkiS9EC3fevWLfj7++M///kPf0erH7HOymCdlcE6K4e1VkZ/1VkIgYaGBvj4+Jj92Pd3GXJHdOzs7ODn59ev+xg2bBj/ESmAdVYG66wM1lk5rLUy+qPOlhzJ6cDJyERERGSz2OgQERGRzVItW7Zs2UAnYUtUKhXi4uJgbz/kzgoqinVWBuusDNZZOay1MgZTnYfcZGQiIiIaOnjqioiIiGwWGx0iIiKyWWx0iIiIyGax0SEiIiKbxUbHQu+88w4eeeQRODg4IDIyEkVFRT2O379/P8LDw6HVahEeHo6DBw8qlKl1s6TOeXl5iImJgZubG9zc3PDUU0/h73//u4LZWi9LX88dDAYDJEnCc889188Z2gZL63zz5k1kZGTA29sbDg4OCAsLQ35+vkLZWi9L67xlyxaEhobC0dER/v7+yM7Oxp07dxTK1jp9/PHHSEpKgo+PDyRJwqFDh75znZMnTyIyMhIODg4ICgrC9u3bFcj0HoJ6zWAwCLVaLfLy8kR5ebnIzMwUzs7OoqqqqsvxJSUlQqVSiVWrVomKigqxatUqYW9vL86cOaNw5tbF0jr/7Gc/E2+//bYoLS0VFRUVIi0tTbi6uoovvvhC4cyti6V17lBZWSl8fX1FTEyMSE5OVihb62Vpne/evSuioqJEYmKiOHXqlKisrBRFRUWirKxM4cyti6V1/sMf/iC0Wq3Ys2ePuHr1qjh69Kjw9vYWWVlZCmduXfLz88XixYvF/v37BQBx8ODBHsdfuXJFODk5iczMTFFeXi7y8vKEWq0W+/btUyhjIdjoWOAHP/iBSE9PN4uNGjVKLFy4sMvx06dPF9OmTTOLJSQkiBkzZvRbjrbA0jrfz2QyCZ1OJ95///3+SM9m9KXOJpNJTJ48WezYsUPMnj2bjU4vWFrnbdu2iaCgINHc3KxEejbD0jpnZGSIJ5980iw2b948MWXKlH7L0db0ptHJyckRo0aNMou9/PLL4oknnujP1Mzw1FUvNTc34/z583j66afN4k8//TRKSkq6XOf06dOdxickJHQ7nvpW5/vdvn0bLS0teOihh/ojRZvQ1zqvWLECHh4eeOmll/o7RZvQlzp/+OGHmDRpEjIyMuDp6YkxY8Zg1apVaG1tVSJlq9SXOk+ZMgXnz5+XT3NfuXIF+fn5+PGPf9zv+Q4l3b0Pnjt3Di0tLYrkMPBfWWgl6urq0NraCk9PT7O4p6cnamtru1yntrbWovHUtzrfb+HChfD19cVTTz3VHynahL7Uubi4GDt37kRZWZkSKdqEvtT5ypUrOHHiBGbOnIn8/Hx8/vnnyMjIgMlkwuuvv65E2lanL3WeMWMG/vvf/2LKlCkQQsBkMmHu3LlYuHChEikPGd29D5pMJtTV1cHb27vfc2CjYyFJksyWhRCdYt9nPLXra93WrVuHvXv3wmg0wsHBob/Ssxm9rXNDQwN+/vOfIy8vD+7u7kqlZzMseT23tbVh5MiRePfdd6FSqRAZGYnr169j/fr1bHS+gyV1NhqNePPNN/HOO+9g4sSJuHTpEjIzM+Ht7Y3c3Fwl0h0yunpeuor3FzY6veTu7g6VStXp08GNGzc6dasdvLy8LBpPfatzhw0bNmDVqlUoKCjAuHHj+jNNq2dpnS9fvozKykokJSXJsba2NgCAvb09Ll68CL1e379JW6G+vJ69vb2hVquhUqnkWFhYGGpra9Hc3AyNRtOvOVujvtQ5NzcXs2bNwi9+8QsAwNixY9HU1IRf/epXWLx4MezsOLPjQejufdDe3h4jRoxQJAc+k72k0WgQGRmJ48ePm8WPHz+O6OjoLteZNGlSp/HHjh3rdjz1rc4AsH79erzxxhv4y1/+gqioqP5O0+pZWudRo0bhX//6F8rKyuTbs88+i/j4eJSVlcHf31+p1K1KX17PkydPxqVLl+RGEgA+++wzeHt7s8npRl/qfPv27U7NjEqlgmi/SKffch1qunsfjIqKglqtViYJxaY924COyxd37twpysvLRVZWlnB2dhaVlZVCCCFmzZplNsO/uLhYqFQqsWbNGlFRUSHWrFnDy8t7wdI6r127Vmg0GrFv3z5RU1Mj3xoaGgbqIVgFS+t8P1511TuW1rm6ulq4uLiIV199VVy8eFEcPnxYjBw5UqxcuXKgHoJVsLTOS5cuFTqdTuzdu1dcuXJFHDt2TOj1ejF9+vSBeghWoaGhQZSWlorS0lIBQGzatEmUlpbKl/EvXLhQzJo1Sx7fcXl5dna2KC8vFzt37uTl5YPd22+/LQICAoRGoxETJkwQJ0+elO+LjY0Vs2fPNhv/pz/9SYSGhgq1Wi1GjRol9u/fr3DG1smSOgcEBAgAnW5Lly5VPnErY+nr+V5sdHrP0jqXlJSIiRMnCq1WK4KCgsSbb74pTCaTwllbH0vq3NLSIpYtWyb0er1wcHAQ/v7+4pVXXhH19fUDkLn1KCws7PL/247azp49W8TGxpqtYzQaxfjx44VGoxGBgYFi27ZtiuYsCcFjdERERGSbOEeHiIiIbBYbHSIiIrJZbHSIiIjIZrHRISIiIpvFRoeIiIhsFhsdIiIisllsdIiIiMhmsdEhIiIim8VGh4joe9i9ezeGDx/e7/sJDAyEJEmQJAk3b97sMZ+OcVlZWf2eF9Fgx0aHyIpt374dOp0OJpNJjjU2NkKtViMmJsZsbFFRESRJwmeffdarbSv1Bt5Xy5YtQ0REhKL7DAwMxJYtW8xiKSkpva7p97VixQrU1NTA1dW12zEpKSmoqanBpEmTFMmJaLBjo0NkxeLj49HY2Ihz587JsaKiInh5eeHs2bO4ffu2HDcajfDx8UFISIiiOba2tpr9EvdgI4QwaxQt5ejoiJEjRz7AjLqn0+ng5eUFSZJ6zMfLy4u/dE70/9joEFmx0NBQ+Pj4wGg0yjGj0Yjk5GTo9XqUlJSYxePj4+XlTZs2YezYsXB2doa/vz9eeeUVNDY2ymPT0tLw9ddfy6dBli1bBgBobm5GTk4OfH194ezsjIkTJ5rtv+NI0OHDhxEeHg6tVouqqqpOudfX12PmzJnw8PCAo6MjHn30UezatUu+/7XXXkNISAicnJwQFBSE3NxctLS0yPtYvnw5/vnPf8r57d69G5WVlZAkCWVlZfJ2bt68CUmS5ByNRiMkScLRo0cRFRUFrVaLoqIiXL58GcnJyfD09ISLiwsef/xxFBQUyNuJi4tDVVUVsrOz5X3e+3jvtW3bNuj1emg0GoSGhuL3v/+92f2SJGHHjh14/vnn4eTkhEcffRQffvhht88zEfUdGx0iKxcXF4fCwkJ5ubCwEHFxcYiNjZXjzc3NOH36tFmjY2dnh9/85jf45JNP8P777+PEiRPIyckBAERHR2PLli0YNmwYampqUFNTg1//+tcAgLS0NBQXF8NgMODChQt48cUXMW3aNHz++efytm/fvo3Vq1djx44d+Pe//93lEY/c3FyUl5fjo48+QkVFBbZt2wZ3d3f5fp1Oh927d6O8vBxbt25FXl4eNm/eDKD99Mz8+fMxevRoOb+UlBSL6paTk4PVq1ejoqIC48aNQ2NjIxITE1FQUIDS0lIkJCQgKSkJ1dXVAIADBw7Az89PPn1UU1PT5XYPHjyIzMxMzJ8/H5988glefvllpKWlmT1HALB8+XJMnz4dFy5cQGJiImbOnIn//e9/Fj0GIuoFRX8rnYgeuHfffVc4OzuLlpYWcevWLWFvby++/PJLYTAYRHR0tBBCiJMnTwoA4vLly91u54MPPhAjRoyQl3ft2iVcXV3Nxly6dElIkiSuXbtmFp86dapYtGiRvB4AUVZW1mPeSUlJIi0trdePc926dSIyMlJeXrp0qXjsscfMxly9elUAEKWlpXKsvr5eABCFhYVCCCEKCwsFAHHo0KHv3Gd4eLh466235OWAgACxefNmszH31yk6Olr88pe/NBvz4osvisTERHkZgFiyZIm83NjYKCRJEh999FG3uXS1757ExsaKzMzMXo8nslU8okNk5eLj49HU1ISzZ8+iqKgIISEhGDlyJGJjY3H27Fk0NTXBaDTi4YcfRlBQkLxeYWEhfvSjH8HX1xc6nQ6pqan46quv0NTU1O2+/vGPf0AIgZCQELi4uMi3kydP4vLly/I4jUaDcePG9Zj33LlzYTAYEBERgZycHLPTbACwb98+TJkyBV5eXnBxcUFubq58dOVBiIqKMltuampCTk4OwsPDMXz4cLi4uODTTz+1eJ8VFRWYPHmyWWzy5MmoqKgwi91bH2dnZ+h0Oty4ccOifd37HKSnp1u0LtFQYT/QCRDR9xMcHAw/Pz8UFhaivr4esbGxAAAvLy888sgjKC4uRmFhIZ588kl5naqqKiQmJiI9PR1vvPEGHnroIZw6dQovvfSSPA+mK21tbVCpVDh//jxUKpXZfS4uLvLfjo6OPU6YBYBnnnkGVVVVOHLkCAoKCjB16lRkZGRgw4YNOHPmDGbMmIHly5cjISEBrq6uMBgM2LhxY4/btLNr/+wmhJBj3T0eZ2dns+UFCxbg6NGj2LBhA4KDg+Ho6Iif/vSnaG5u7nGfXbn/sQshOsXUanWndSydtH3vXKRhw4ZZmCXR0MBGh8gGxMfHw2g0or6+HgsWLJDjsbGxOHr0KM6cOYO0tDQ5fu7cOZhMJmzcuFFuDj744AOzbWo0GrS2tprFxo8fj9bWVty4caPT5et94eHhgTlz5mDOnDmIiYnBggULsGHDBhQXFyMgIACLFy+Wx94/obmr/Dw8PAAANTU1GD9+PADzZqAnRUVFmDNnDp5//nkA7ZfpV1ZWfuc+7xcWFoZTp04hNTVVjpWUlCAsLKxXeVgiODj4gW+TyNaw0SGyAfHx8cjIyEBLS4t8RAdob3Tmzp2LO3fumE1E1uv1MJlMeOutt5CUlITi4mJs377dbJuBgYFobGzEX//6Vzz22GNwcnJCSEgIZs6cidTUVGzcuBHjx49HXV0dTpw4gbFjxyIxMbHXOb/++uuIjIzE6NGjcffuXRw+fFhuBoKDg1FdXQ2DwYDHH38cR44cwcGDBzvld/XqVZSVlcHPzw86nQ6Ojo544oknsGbNGgQGBqKurg5LlizpVT7BwcE4cOAAkpKSIEkScnNzOx1hCQwMxMcff4wZM2ZAq9WaTZ7usGDBAkyfPh0TJkzA1KlT8ec//xkHDhwwu4KLiJTDOTpENiA+Ph7ffPMNgoOD4enpKcdjY2PR0NAAvV4Pf39/OR4REYFNmzZh7dq1GDNmDPbs2YPVq1ebbTM6Ohrp6elISUmBh4cH1q1bBwDYtWsXUlNTMX/+fISGhuLZZ5/F3/72N7Pt94ZGo8GiRYswbtw4/PCHP4RKpYLBYAAAJCcnIzs7G6+++ioiIiJQUlKC3Nxcs/V/8pOfYNq0aYiPj4eHhwf27t0LAHjvvffQ0tKCqKgoZGZmYuXKlb3KZ/PmzXBzc0N0dDSSkpKQkJCACRMmmI1ZsWIFKisrodfr5aNH93vuueewdetWrF+/HqNHj8bvfvc77Nq1C3FxcRbVh4geDEncezKbiIgGpcDAQGRlZfX6Zx3i4uIQERHR6ZuciYYaHtEhIrISr732GlxcXPD11193O2bPnj1wcXFBUVGRgpkRDV48okNEZAWqqqrkK8iCgoLkSeT3a2howJdffgkAGD58eJfziIiGEjY6REREZLN46oqIiIhsFhsdIiIisllsdIiIiMhmsdEhIiIim8VGh4iIiGwWGx0iIiKyWWx0iIiIyGax0SEiIiKb9X/KsphZmiCuzAAAAABJRU5ErkJggg==",
      "text/plain": [
       "Figure(PyObject <Figure size 640x480 with 1 Axes>)"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": "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",
      "text/plain": [
       "Figure(PyObject <Figure size 640x480 with 1 Axes>)"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": "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",
      "text/plain": [
       "Figure(PyObject <Figure size 640x480 with 1 Axes>)"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": "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",
      "text/plain": [
       "Figure(PyObject <Figure size 640x480 with 1 Axes>)"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": "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",
      "text/plain": [
       "Figure(PyObject <Figure size 640x480 with 1 Axes>)"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "[0.0, 2.47787e-7, 5.31259e-7, 8.33779e-7, 1.15167e-6, 1.48323e-6, 1.82754e-6, 2.18402e-6, 2.55233e-6, 2.93225e-6, 3.32363e-6, 3.72642e-6, 4.14058e-6, 4.56613e-6, 5.00309e-6, 5.45153e-6, 5.91153e-6, 6.38316e-6, 6.86653e-6, 7.36175e-6, 7.86894e-6, 8.38822e-6, 8.91973e-6, 9.4636e-6, 1.002e-5, 1.0589e-5, 1.11709e-5, 1.17657e-5, 1.23736e-5, 1.29949e-5, 1.36295e-5, 1.42778e-5, 1.49399e-5, 1.5616e-5, 1.63061e-5, 1.70106e-5, 1.77296e-5, 1.84632e-5, 1.92117e-5, 1.99752e-5, 2.07539e-5, 2.1548e-5, 2.23576e-5, 2.3183e-5, 2.40242e-5, 2.48816e-5, 2.57553e-5, 2.66454e-5, 2.75521e-5, 2.84757e-5, 2.94162e-5, 3.03739e-5, 3.13489e-5, 3.23414e-5, 3.33516e-5, 3.43796e-5, 3.54256e-5, 3.64898e-5, 3.75722e-5, 3.86731e-5, 3.97926e-5, 4.09309e-5, 4.20881e-5, 4.32643e-5, 4.44596e-5, 4.56743e-5, 4.69083e-5, 4.81619e-5, 4.94351e-5, 5.0728e-5, 5.20407e-5, 5.33734e-5, 5.47261e-5, 5.60988e-5, 5.74916e-5, 5.89047e-5, 6.0338e-5, 6.17915e-5, 6.32654e-5, 6.47595e-5, 6.6274e-5, 6.78089e-5, 6.9364e-5, 7.09394e-5, 7.2535e-5, 7.41509e-5, 7.57868e-5, 7.74429e-5, 7.91188e-5, 8.08146e-5, 8.25302e-5, 8.42653e-5, 8.60199e-5, 8.77937e-5, 8.95867e-5, 9.13985e-5, 9.3229e-5, 9.50779e-5, 9.6945e-5, 9.883e-5, 0.00019766]\n",
      "[0.59675, 0.595998, 0.595246, 0.594494, 0.593742, 0.592989, 0.592237, 0.591485, 0.590733, 0.589981, 0.589229, 0.588477, 0.587725, 0.586973, 0.586221, 0.585468, 0.584716, 0.583964, 0.583212, 0.58246, 0.581708, 0.580956, 0.580204, 0.579452, 0.578699, 0.577947, 0.577195, 0.576443, 0.575691, 0.574939, 0.574187, 0.573435, 0.572683, 0.571931, 0.571178, 0.570426, 0.569674, 0.568922, 0.56817, 0.567418, 0.566666, 0.565914, 0.565162, 0.56441, 0.563657, 0.562905, 0.562153, 0.561401, 0.560649, 0.559897, 0.559145, 0.558393, 0.557641, 0.556888, 0.556136, 0.555384, 0.554632, 0.55388, 0.553128, 0.552376, 0.551624, 0.550872, 0.55012, 0.549367, 0.548615, 0.547863, 0.547111, 0.546359, 0.545607, 0.544855, 0.544103, 0.543351, 0.542598, 0.541846, 0.541094, 0.540342, 0.53959, 0.538838, 0.538086, 0.537334, 0.536582, 0.53583, 0.535077, 0.534325, 0.533573, 0.532821, 0.532069, 0.531317, 0.530565, 0.529813, 0.529061, 0.528309, 0.527556, 0.526804, 0.526052, 0.5253, 0.524548, 0.523796, 0.523044, 0.522292, 0.212]\n",
      "[0.0, 5.0e-6, 1.0e-5, 1.5e-5, 2.0e-5, 2.5e-5, 3.0e-5, 3.5e-5, 4.0e-5, 4.5e-5, 5.0e-5, 5.5e-5, 6.0e-5, 6.5e-5, 7.0e-5, 7.5e-5, 8.0e-5, 8.5e-5, 9.0e-5, 9.5e-5, 0.0001, 0.000105, 0.00011, 0.000115, 0.00012, 0.000125, 0.00013, 0.000135, 0.00014, 0.000145, 0.00015, 0.000155, 0.00016, 0.000165, 0.00017, 0.000175, 0.00018, 0.000185, 0.00019, 0.000195, 0.0002, 0.000205, 0.00021, 0.000215, 0.00022, 0.000225, 0.00023, 0.000235, 0.00024, 0.000245, 0.00025, 0.000255, 0.00026, 0.000265, 0.00027, 0.000275, 0.00028, 0.000285, 0.00029, 0.000295, 0.0003, 0.000305, 0.00031, 0.000315, 0.00032, 0.000325, 0.00033, 0.000335, 0.00034, 0.000345, 0.00035, 0.000355, 0.00036, 0.000365, 0.00037, 0.000375, 0.00038, 0.000385, 0.00039, 0.000395, 0.0004, 0.000405, 0.00041, 0.000415, 0.00042, 0.000425, 0.00043, 0.000435, 0.00044, 0.000445, 0.00045, 0.000455, 0.00046, 0.000465, 0.00047, 0.000475, 0.00048, 0.000485, 0.00049, 0.000495, 0.0005, 0.000505, 0.00051, 0.000515, 0.00052, 0.000525, 0.00053, 0.000535, 0.00054, 0.000545, 0.00055, 0.000555, 0.00056, 0.000565, 0.00057, 0.000575, 0.00058, 0.000585, 0.00059, 0.000595, 0.0006, 0.000605, 0.00061, 0.000615, 0.00062, 0.000625, 0.00063, 0.000635, 0.00064, 0.000645, 0.00065, 0.000655, 0.00066, 0.000665, 0.00067, 0.000675, 0.00068, 0.000685, 0.00069, 0.000695, 0.0007, 0.000705, 0.00071, 0.000715, 0.00072, 0.000725, 0.00073, 0.000735, 0.00074, 0.000745, 0.00075, 0.000755, 0.00076, 0.000765, 0.00077, 0.000775, 0.00078, 0.000785, 0.00079, 0.000795, 0.0008, 0.000805, 0.00081, 0.000815, 0.00082, 0.000825, 0.00083, 0.000835, 0.00084, 0.000845, 0.00085, 0.000855, 0.00086, 0.000865, 0.00087, 0.000875, 0.00088, 0.000885, 0.00089, 0.000895, 0.0009, 0.000905, 0.00091, 0.000915, 0.00092, 0.000925, 0.00093, 0.000935, 0.00094, 0.000945, 0.00095, 0.000955, 0.00096, 0.000965, 0.00097, 0.000975, 0.00098, 0.000985, 0.00099, 0.000995]\n",
      "[0.59675, 0.586226, 0.578727, 0.572616, 0.567394, 0.562803, 0.558686, 0.554938, 0.551487, 0.548281, 0.545278, 0.542448, 0.539767, 0.537214, 0.534774, 0.532431, 0.530174, 0.527994, 0.525881, 0.523828, 0.518618, 0.50292, 0.487222, 0.471523, 0.455825, 0.440127, 0.424429, 0.40873, 0.393032, 0.377334, 0.361636, 0.345937, 0.330239, 0.314541, 0.298843, 0.283144, 0.267446, 0.251748, 0.23605, 0.220351, 0.212, 0.212, 0.212, 0.212, 0.212, 0.212, 0.212, 0.212, 0.212, 0.212, 0.212, 0.212, 0.212, 0.212, 0.212, 0.212, 0.212, 0.212, 0.212, 0.212, 0.212, 0.212, 0.212, 0.212, 0.212, 0.212, 0.212, 0.212, 0.212, 0.212, 0.212, 0.212, 0.212, 0.212, 0.212, 0.212, 0.212, 0.212, 0.212, 0.212, 0.212, 0.212, 0.212, 0.212, 0.212, 0.212, 0.212, 0.212, 0.212, 0.212, 0.212, 0.212, 0.212, 0.212, 0.212, 0.212, 0.212, 0.212, 0.212, 0.212, 0.212, 0.212, 0.212, 0.212, 0.212, 0.212, 0.212, 0.212, 0.212, 0.212, 0.212, 0.212, 0.212, 0.212, 0.212, 0.212, 0.212, 0.212, 0.212, 0.212, 0.212, 0.212, 0.212, 0.212, 0.212, 0.212, 0.212, 0.212, 0.212, 0.212, 0.212, 0.212, 0.212, 0.212, 0.212, 0.212, 0.212, 0.212, 0.212, 0.212, 0.212, 0.212, 0.212, 0.212, 0.212, 0.212, 0.212, 0.212, 0.212, 0.212, 0.212, 0.212, 0.212, 0.212, 0.212, 0.212, 0.212, 0.212, 0.212, 0.212, 0.212, 0.212, 0.212, 0.212, 0.212, 0.212, 0.212, 0.212, 0.212, 0.212, 0.212, 0.212, 0.212, 0.212, 0.212, 0.212, 0.212, 0.212, 0.212, 0.212, 0.212, 0.212, 0.212, 0.212, 0.212, 0.212, 0.212, 0.212, 0.212, 0.212, 0.212, 0.212, 0.212, 0.212, 0.212, 0.212, 0.212, 0.212, 0.212, 0.212]\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "┌ Info: difficulty finding the shock front saturation range!\n",
      "└ @ Main.FractionalFlow /home/ali/projects/peteng/analytical/FractionalFlow/FractionalFlow.jl:401\n",
      "┌ Info: difficulty finding the shock front saturation range!\n",
      "└ @ Main.FractionalFlow /home/ali/projects/peteng/analytical/FractionalFlow/FractionalFlow.jl:401\n"
     ]
    },
    {
     "data": {
      "text/plain": [
       "PyObject <matplotlib.legend.Legend object at 0x7f4606c669e8>"
      ]
     },
     "execution_count": 18,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "fluids_hs = FF.oil_water_fluids(mu_water=1.1e-3, mu_oil=2e-3)\n",
    "fluids_ls = FF.oil_water_fluids(mu_water=1e-3, mu_oil=2e-3)\n",
    "rel_perms_hs = FF.oil_water_rel_perms(krw0=krw0_ow, kro0=kro0_ow, \n",
    "        swc=swc_ow, sor=sor_ow, nw=nw_ow, no = no_ow)\n",
    "rel_perms_ls = FF.oil_water_rel_perms(krw0=krw0_ww, kro0=kro0_ww, \n",
    "        swc=swc_ww, sor=sor_ww, nw=nw_ww, no = no_ww)\n",
    "core_flood_fast = FF.core_flooding(u_inj=u_inj_fast, pv_inject=pv_inj_fast, p_back=1e5, sw_init=swc_ow, sw_inj=1.0, rel_perms=rel_perms_hs)\n",
    "core_flood_slow = FF.core_flooding(u_inj=u_inj_slow, pv_inject=pv_inj_slow, p_back=1e5, sw_init=swc_ow, sw_inj=1.0, rel_perms=rel_perms_hs)\n",
    "\n",
    "core_props = FF.core_properties()\n",
    "ls_res_fast = FF.water_flood(core_props, fluids_ls, rel_perms_hs, core_flood_fast)\n",
    "ls_res_slow = FF.water_flood(core_props, fluids_ls, rel_perms_hs, core_flood_slow)\n",
    "\n",
    "FF.visualize(ls_res_fast)\n",
    "FF.visualize(ls_res_slow)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 19,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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",
      "text/plain": [
       "Figure(PyObject <Figure size 640x480 with 1 Axes>)"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/plain": [
       "PyObject <matplotlib.legend.Legend object at 0x7f4606469828>"
      ]
     },
     "execution_count": 19,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "plot(ls_res_fast.water_cut_time[:,1], ls_res_fast.water_cut_time[:,2], \n",
    "    ls_res_slow.water_cut_time[:,1], ls_res_slow.water_cut_time[:,2])\n",
    "legend([\"Fast\", \"Slow\"])"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "The above figure shows the water cut in each zone. I need to add them together based on the total flow rate in each zone and plot the final value versus time. I need to know the total injection rate, the total surface area of each zone, and the water cut versus time. Then I calculate the new water cut versus time by calculating the total flow of oil and normalizing it."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 20,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "Spline1D(knots=[0.0,150.754 … 29849.2,30000.0] (200 elements), k=1, extrapolation=\"nearest\", residual=0.0)"
      ]
     },
     "execution_count": 20,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "t_fast = ls_res_fast.water_cut_time[:,1]\n",
    "WC_fast = ls_res_fast.water_cut_time[:,2]\n",
    "t_slow = ls_res_slow.water_cut_time[:,1]\n",
    "WC_slow = ls_res_slow.water_cut_time[:,2]\n",
    "WC_f =  Spline1D(t_fast, WC_fast, k=1, bc=\"nearest\")\n",
    "WC_s =  Spline1D(t_slow, WC_slow, k=1, bc=\"nearest\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 21,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "20000-element Array{Float64,1}:\n",
       " 0.0               \n",
       " 0.0               \n",
       " 0.0               \n",
       " 0.0               \n",
       " 0.0               \n",
       " 0.0               \n",
       " 0.0               \n",
       " 0.0               \n",
       " 0.0               \n",
       " 0.0               \n",
       " 0.0               \n",
       " 0.0               \n",
       " 0.0               \n",
       " ⋮                 \n",
       " 0.9979062699838331\n",
       " 0.9979064433247332\n",
       " 0.9979066166656337\n",
       " 0.9979067900065342\n",
       " 0.9979069633474345\n",
       " 0.997907136688335 \n",
       " 0.9979073100292353\n",
       " 0.9979074833701358\n",
       " 0.9979076567110363\n",
       " 0.9979078300519367\n",
       " 0.997908003392837 \n",
       " 0.9979081767337372"
      ]
     },
     "execution_count": 21,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "t = range(0, 20000, length=20000)\n",
    "WC = (u_inj_fast*A_fast.*WC_f(t)+u_inj_slow*A_slow.*WC_s(t))./(u_inj_fast*A_fast+u_inj_slow*A_slow)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 29,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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",
      "text/plain": [
       "Figure(PyObject <Figure size 1062.99x826.772 with 1 Axes>)"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "total_pv = pv_inj_fast*A_fast+pv_inj_slow*(1-A_fast)\n",
    "\n",
    "\n",
    "\n",
    "plot(ls_res_fast.water_cut_time[:,1]./t_fast[end].*total_pv, ls_res_fast.water_cut_time[:,2], \n",
    "    ls_res_slow.water_cut_time[:,1]./t_fast[end].*total_pv, ls_res_slow.water_cut_time[:,2])\n",
    "\n",
    "plot(t./t_fast[end].*total_pv, WC, linewidth = 3, \"--\")\n",
    "\n",
    "legend([\"Late breakthrough\", \"Early breakthrough\", \"Overall\"])\n",
    "\n",
    "xlabel(\"Injected PV [-]\")\n",
    "ylabel(\"Water cut [-]\")\n",
    "\n",
    "savefig(\"results/water_cut_WF_zones.png\")"
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Julia 1.1.0",
   "language": "julia",
   "name": "julia-1.1"
  },
  "language_info": {
   "file_extension": ".jl",
   "mimetype": "application/julia",
   "name": "julia",
   "version": "1.1.0"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 2
}
